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Finding the Fourth Proportional to 224,364.24, 309,598.74 and 123,762.24

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Solution

The fourth proportional to 224,364.24, 309,598.74 and 123,762.24 is: 170,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,364.24 : 309,598.74 = 123,762.24 : x
  2. Step 2: Convert to fraction form
    224,364.24/309,598.74 = 123,762.24/x
  3. Step 3: Cross multiply
    224,364.24x = 309,598.74 × 123,762.24
  4. Step 4: Simplify right side
    224,364.24x = 38,316,633,563.58
  5. Step 5: Solve for x
    x = 38,316,633,563.58/224,364.24
  6. Step 6: Final answer
    x = 170,778.70

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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.