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Finding the Fourth Proportional to 224,309.16, 309,538.04 and 123,707.16

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Solution

The fourth proportional to 224,309.16, 309,538.04 and 123,707.16 is: 170,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,309.16 : 309,538.04 = 123,707.16 : x
  2. Step 2: Convert to fraction form
    224,309.16/309,538.04 = 123,707.16/x
  3. Step 3: Cross multiply
    224,309.16x = 309,538.04 × 123,707.16
  4. Step 4: Simplify right side
    224,309.16x = 38,292,071,840.37
  5. Step 5: Solve for x
    x = 38,292,071,840.37/224,309.16
  6. Step 6: Final answer
    x = 170,711.14

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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.