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Finding the Fourth Proportional to 492,089.90, 738,164.02 and 155,141.24

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Solution

The fourth proportional to 492,089.90, 738,164.02 and 155,141.24 is: 232,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,089.90 : 738,164.02 = 155,141.24 : x
  2. Step 2: Convert to fraction form
    492,089.90/738,164.02 = 155,141.24/x
  3. Step 3: Cross multiply
    492,089.90x = 738,164.02 × 155,141.24
  4. Step 4: Simplify right side
    492,089.90x = 114,519,681,386.19
  5. Step 5: Solve for x
    x = 114,519,681,386.19/492,089.90
  6. Step 6: Final answer
    x = 232,721.06

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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.