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Finding the Fourth Proportional to 157,870.68, 235,654.40 and 137,941.44

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Solution

The fourth proportional to 157,870.68, 235,654.40 and 137,941.44 is: 205,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870.68 : 235,654.40 = 137,941.44 : x
  2. Step 2: Convert to fraction form
    157,870.68/235,654.40 = 137,941.44/x
  3. Step 3: Cross multiply
    157,870.68x = 235,654.40 × 137,941.44
  4. Step 4: Simplify right side
    157,870.68x = 32,506,506,588.63
  5. Step 5: Solve for x
    x = 32,506,506,588.63/157,870.68
  6. Step 6: Final answer
    x = 205,905.91

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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.