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Finding the Fourth Proportional to 124,193.52, 186,317.95 and 45,307.74

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Solution

The fourth proportional to 124,193.52, 186,317.95 and 45,307.74 is: 67,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,193.52 : 186,317.95 = 45,307.74 : x
  2. Step 2: Convert to fraction form
    124,193.52/186,317.95 = 45,307.74/x
  3. Step 3: Cross multiply
    124,193.52x = 186,317.95 × 45,307.74
  4. Step 4: Simplify right side
    124,193.52x = 8,441,645,235.93
  5. Step 5: Solve for x
    x = 8,441,645,235.93/124,193.52
  6. Step 6: Final answer
    x = 67,971.70

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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.