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Finding the Fourth Proportional to 177,117.40, 265,092.90 and 137,459.80

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Solution

The fourth proportional to 177,117.40, 265,092.90 and 137,459.80 is: 205,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,117.40 : 265,092.90 = 137,459.80 : x
  2. Step 2: Convert to fraction form
    177,117.40/265,092.90 = 137,459.80/x
  3. Step 3: Cross multiply
    177,117.40x = 265,092.90 × 137,459.80
  4. Step 4: Simplify right side
    177,117.40x = 36,439,617,015.42
  5. Step 5: Solve for x
    x = 36,439,617,015.42/177,117.40
  6. Step 6: Final answer
    x = 205,737.08

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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.