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Finding the Fourth Proportional to 177,543.80, 265,878.30 and 118,057.40

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Solution

The fourth proportional to 177,543.80, 265,878.30 and 118,057.40 is: 176,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,543.80 : 265,878.30 = 118,057.40 : x
  2. Step 2: Convert to fraction form
    177,543.80/265,878.30 = 118,057.40/x
  3. Step 3: Cross multiply
    177,543.80x = 265,878.30 × 118,057.40
  4. Step 4: Simplify right side
    177,543.80x = 31,388,900,814.42
  5. Step 5: Solve for x
    x = 31,388,900,814.42/177,543.80
  6. Step 6: Final answer
    x = 176,795.25

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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.