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Finding the Fourth Proportional to 262,014.70, 392,114.85 and 156,909.10

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Solution

The fourth proportional to 262,014.70, 392,114.85 and 156,909.10 is: 234,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,014.70 : 392,114.85 = 156,909.10 : x
  2. Step 2: Convert to fraction form
    262,014.70/392,114.85 = 156,909.10/x
  3. Step 3: Cross multiply
    262,014.70x = 392,114.85 × 156,909.10
  4. Step 4: Simplify right side
    262,014.70x = 61,526,388,210.14
  5. Step 5: Solve for x
    x = 61,526,388,210.14/262,014.70
  6. Step 6: Final answer
    x = 234,820.37

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1.5x scale

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.