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Finding the Fourth Proportional to 177,730.80, 266,495.40 and 72,426.48

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Solution

The fourth proportional to 177,730.80, 266,495.40 and 72,426.48 is: 108,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,730.80 : 266,495.40 = 72,426.48 : x
  2. Step 2: Convert to fraction form
    177,730.80/266,495.40 = 72,426.48/x
  3. Step 3: Cross multiply
    177,730.80x = 266,495.40 × 72,426.48
  4. Step 4: Simplify right side
    177,730.80x = 19,301,323,758.19
  5. Step 5: Solve for x
    x = 19,301,323,758.19/177,730.80
  6. Step 6: Final answer
    x = 108,598.64

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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.