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Finding the Fourth Proportional to 564,907.52, 847,251.72 and 160,096.25

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Solution

The fourth proportional to 564,907.52, 847,251.72 and 160,096.25 is: 240,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,907.52 : 847,251.72 = 160,096.25 : x
  2. Step 2: Convert to fraction form
    564,907.52/847,251.72 = 160,096.25/x
  3. Step 3: Cross multiply
    564,907.52x = 847,251.72 × 160,096.25
  4. Step 4: Simplify right side
    564,907.52x = 135,641,818,941.79
  5. Step 5: Solve for x
    x = 135,641,818,941.79/564,907.52
  6. Step 6: Final answer
    x = 240,113.32

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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.