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Finding the Fourth Proportional to 177,547.80, 265,976.10 and 107,218.20

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Solution

The fourth proportional to 177,547.80, 265,976.10 and 107,218.20 is: 160,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,547.80 : 265,976.10 = 107,218.20 : x
  2. Step 2: Convert to fraction form
    177,547.80/265,976.10 = 107,218.20/x
  3. Step 3: Cross multiply
    177,547.80x = 265,976.10 × 107,218.20
  4. Step 4: Simplify right side
    177,547.80x = 28,517,478,685.02
  5. Step 5: Solve for x
    x = 28,517,478,685.02/177,547.80
  6. Step 6: Final answer
    x = 160,618.60

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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.