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Finding the Fourth Proportional to 157,870.71, 235,654.40 and 137,941.47

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Solution

The fourth proportional to 157,870.71, 235,654.40 and 137,941.47 is: 205,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870.71 : 235,654.40 = 137,941.47 : x
  2. Step 2: Convert to fraction form
    157,870.71/235,654.40 = 137,941.47/x
  3. Step 3: Cross multiply
    157,870.71x = 235,654.40 × 137,941.47
  4. Step 4: Simplify right side
    157,870.71x = 32,506,513,658.26
  5. Step 5: Solve for x
    x = 32,506,513,658.26/157,870.71
  6. Step 6: Final answer
    x = 205,905.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.