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Finding the Fourth Proportional to 357,507, 536,260.50 and 132,923.97

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Solution

The fourth proportional to 357,507, 536,260.50 and 132,923.97 is: 199,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,507 : 536,260.50 = 132,923.97 : x
  2. Step 2: Convert to fraction form
    357,507/536,260.50 = 132,923.97/x
  3. Step 3: Cross multiply
    357,507x = 536,260.50 × 132,923.97
  4. Step 4: Simplify right side
    357,507x = 71,281,874,614.19
  5. Step 5: Solve for x
    x = 71,281,874,614.19/357,507
  6. Step 6: Final answer
    x = 199,385.96

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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.