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Finding the Fourth Proportional to 155,135, 232,715.90 and 42,815.24

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Solution

The fourth proportional to 155,135, 232,715.90 and 42,815.24 is: 64,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,135 : 232,715.90 = 42,815.24 : x
  2. Step 2: Convert to fraction form
    155,135/232,715.90 = 42,815.24/x
  3. Step 3: Cross multiply
    155,135x = 232,715.90 × 42,815.24
  4. Step 4: Simplify right side
    155,135x = 9,963,785,946.74
  5. Step 5: Solve for x
    x = 9,963,785,946.74/155,135
  6. Step 6: Final answer
    x = 64,226.55

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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.