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Finding the Fourth Proportional to 224,109.81, 309,271.52 and 123,507.81

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Solution

The fourth proportional to 224,109.81, 309,271.52 and 123,507.81 is: 170,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,109.81 : 309,271.52 = 123,507.81 : x
  2. Step 2: Convert to fraction form
    224,109.81/309,271.52 = 123,507.81/x
  3. Step 3: Cross multiply
    224,109.81x = 309,271.52 × 123,507.81
  4. Step 4: Simplify right side
    224,109.81x = 38,197,448,130.57
  5. Step 5: Solve for x
    x = 38,197,448,130.57/224,109.81
  6. Step 6: Final answer
    x = 170,440.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.