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Finding the Fourth Proportional to 142,744.90, 214,117.35 and 101,272.90

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Solution

The fourth proportional to 142,744.90, 214,117.35 and 101,272.90 is: 151,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,744.90 : 214,117.35 = 101,272.90 : x
  2. Step 2: Convert to fraction form
    142,744.90/214,117.35 = 101,272.90/x
  3. Step 3: Cross multiply
    142,744.90x = 214,117.35 × 101,272.90
  4. Step 4: Simplify right side
    142,744.90x = 21,684,284,974.82
  5. Step 5: Solve for x
    x = 21,684,284,974.82/142,744.90
  6. Step 6: Final answer
    x = 151,909.35

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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.