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Finding the Fourth Proportional to 492,088.90, 738,162.52 and 155,140.24

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Solution

The fourth proportional to 492,088.90, 738,162.52 and 155,140.24 is: 232,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,088.90 : 738,162.52 = 155,140.24 : x
  2. Step 2: Convert to fraction form
    492,088.90/738,162.52 = 155,140.24/x
  3. Step 3: Cross multiply
    492,088.90x = 738,162.52 × 155,140.24
  4. Step 4: Simplify right side
    492,088.90x = 114,518,710,511.81
  5. Step 5: Solve for x
    x = 114,518,710,511.81/492,088.90
  6. Step 6: Final answer
    x = 232,719.56

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Why These Related Problems?

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