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Finding the Fourth Proportional to 116,352, 160,565.76 and 63,360

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Solution

The fourth proportional to 116,352, 160,565.76 and 63,360 is: 87,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,352 : 160,565.76 = 63,360 : x
  2. Step 2: Convert to fraction form
    116,352/160,565.76 = 63,360/x
  3. Step 3: Cross multiply
    116,352x = 160,565.76 × 63,360
  4. Step 4: Simplify right side
    116,352x = 10,173,446,553.60
  5. Step 5: Solve for x
    x = 10,173,446,553.60/116,352
  6. Step 6: Final answer
    x = 87,436.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.