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Finding the Fourth Proportional to 295,261.40, 442,892.10 and 117,795.80

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Solution

The fourth proportional to 295,261.40, 442,892.10 and 117,795.80 is: 176,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,261.40 : 442,892.10 = 117,795.80 : x
  2. Step 2: Convert to fraction form
    295,261.40/442,892.10 = 117,795.80/x
  3. Step 3: Cross multiply
    295,261.40x = 442,892.10 × 117,795.80
  4. Step 4: Simplify right side
    295,261.40x = 52,170,829,233.18
  5. Step 5: Solve for x
    x = 52,170,829,233.18/295,261.40
  6. Step 6: Final answer
    x = 176,693.70

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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.