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Finding the Fourth Proportional to 116,036.64, 173,832.62 and 78,532.02

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Solution

The fourth proportional to 116,036.64, 173,832.62 and 78,532.02 is: 117,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,036.64 : 173,832.62 = 78,532.02 : x
  2. Step 2: Convert to fraction form
    116,036.64/173,832.62 = 78,532.02/x
  3. Step 3: Cross multiply
    116,036.64x = 173,832.62 × 78,532.02
  4. Step 4: Simplify right side
    116,036.64x = 13,651,426,397.83
  5. Step 5: Solve for x
    x = 13,651,426,397.83/116,036.64
  6. Step 6: Final answer
    x = 117,647.55

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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.