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Finding the Fourth Proportional to 157,144.47, 216,905.14 and 102,704.57

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Solution

The fourth proportional to 157,144.47, 216,905.14 and 102,704.57 is: 141,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,144.47 : 216,905.14 = 102,704.57 : x
  2. Step 2: Convert to fraction form
    157,144.47/216,905.14 = 102,704.57/x
  3. Step 3: Cross multiply
    157,144.47x = 216,905.14 × 102,704.57
  4. Step 4: Simplify right side
    157,144.47x = 22,277,148,991.74
  5. Step 5: Solve for x
    x = 22,277,148,991.74/157,144.47
  6. Step 6: Final answer
    x = 141,762.22

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