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Finding the Fourth Proportional to 257,537.72, 385,808.40 and 144,875.60

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Solution

The fourth proportional to 257,537.72, 385,808.40 and 144,875.60 is: 217,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,537.72 : 385,808.40 = 144,875.60 : x
  2. Step 2: Convert to fraction form
    257,537.72/385,808.40 = 144,875.60/x
  3. Step 3: Cross multiply
    257,537.72x = 385,808.40 × 144,875.60
  4. Step 4: Simplify right side
    257,537.72x = 55,894,223,435.04
  5. Step 5: Solve for x
    x = 55,894,223,435.04/257,537.72
  6. Step 6: Final answer
    x = 217,033.15

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