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Finding the Fourth Proportional to 117,095.90, 175,623.86 and 42,201.14

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Solution

The fourth proportional to 117,095.90, 175,623.86 and 42,201.14 is: 63,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,095.90 : 175,623.86 = 42,201.14 : x
  2. Step 2: Convert to fraction form
    117,095.90/175,623.86 = 42,201.14/x
  3. Step 3: Cross multiply
    117,095.90x = 175,623.86 × 42,201.14
  4. Step 4: Simplify right side
    117,095.90x = 7,411,526,330.58
  5. Step 5: Solve for x
    x = 7,411,526,330.58/117,095.90
  6. Step 6: Final answer
    x = 63,294.50

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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.