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Finding the Fourth Proportional to 125,822, 188,762.16 and 42,716

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Solution

The fourth proportional to 125,822, 188,762.16 and 42,716 is: 64,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,822 : 188,762.16 = 42,716 : x
  2. Step 2: Convert to fraction form
    125,822/188,762.16 = 42,716/x
  3. Step 3: Cross multiply
    125,822x = 188,762.16 × 42,716
  4. Step 4: Simplify right side
    125,822x = 8,063,164,426.56
  5. Step 5: Solve for x
    x = 8,063,164,426.56/125,822
  6. Step 6: Final answer
    x = 64,083.90

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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.