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Finding the Fourth Proportional to 115,968.07, 173,702.17 and 78,321.13

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Solution

The fourth proportional to 115,968.07, 173,702.17 and 78,321.13 is: 117,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,968.07 : 173,702.17 = 78,321.13 : x
  2. Step 2: Convert to fraction form
    115,968.07/173,702.17 = 78,321.13/x
  3. Step 3: Cross multiply
    115,968.07x = 173,702.17 × 78,321.13
  4. Step 4: Simplify right side
    115,968.07x = 13,604,549,901.50
  5. Step 5: Solve for x
    x = 13,604,549,901.50/115,968.07
  6. Step 6: Final answer
    x = 117,312.89

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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.