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Finding the Fourth Proportional to 125,694.16, 188,567.16 and 42,586

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Solution

The fourth proportional to 125,694.16, 188,567.16 and 42,586 is: 63,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,694.16 : 188,567.16 = 42,586 : x
  2. Step 2: Convert to fraction form
    125,694.16/188,567.16 = 42,586/x
  3. Step 3: Cross multiply
    125,694.16x = 188,567.16 × 42,586
  4. Step 4: Simplify right side
    125,694.16x = 8,030,321,075.76
  5. Step 5: Solve for x
    x = 8,030,321,075.76/125,694.16
  6. Step 6: Final answer
    x = 63,887.78

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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.