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Finding the Fourth Proportional to 157,114.14, 216,815.67 and 103,477.02

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Solution

The fourth proportional to 157,114.14, 216,815.67 and 103,477.02 is: 142,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,114.14 : 216,815.67 = 103,477.02 : x
  2. Step 2: Convert to fraction form
    157,114.14/216,815.67 = 103,477.02/x
  3. Step 3: Cross multiply
    157,114.14x = 216,815.67 × 103,477.02
  4. Step 4: Simplify right side
    157,114.14x = 22,435,439,420.90
  5. Step 5: Solve for x
    x = 22,435,439,420.90/157,114.14
  6. Step 6: Final answer
    x = 142,797.07

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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.