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Finding the Fourth Proportional to 125,624, 188,522.40 and 51,752

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Solution

The fourth proportional to 125,624, 188,522.40 and 51,752 is: 77,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,624 : 188,522.40 = 51,752 : x
  2. Step 2: Convert to fraction form
    125,624/188,522.40 = 51,752/x
  3. Step 3: Cross multiply
    125,624x = 188,522.40 × 51,752
  4. Step 4: Simplify right side
    125,624x = 9,756,411,244.80
  5. Step 5: Solve for x
    x = 9,756,411,244.80/125,624
  6. Step 6: Final answer
    x = 77,663.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.