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Finding the Fourth Proportional to 472,984.13, 709,597.67 and 136,051.16

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Solution

The fourth proportional to 472,984.13, 709,597.67 and 136,051.16 is: 204,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,984.13 : 709,597.67 = 136,051.16 : x
  2. Step 2: Convert to fraction form
    472,984.13/709,597.67 = 136,051.16/x
  3. Step 3: Cross multiply
    472,984.13x = 709,597.67 × 136,051.16
  4. Step 4: Simplify right side
    472,984.13x = 96,541,585,900.04
  5. Step 5: Solve for x
    x = 96,541,585,900.04/472,984.13
  6. Step 6: Final answer
    x = 204,111.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.