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Finding the Fourth Proportional to 177,534, 266,347.17 and 52,875

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Solution

The fourth proportional to 177,534, 266,347.17 and 52,875 is: 79,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,534 : 266,347.17 = 52,875 : x
  2. Step 2: Convert to fraction form
    177,534/266,347.17 = 52,875/x
  3. Step 3: Cross multiply
    177,534x = 266,347.17 × 52,875
  4. Step 4: Simplify right side
    177,534x = 14,083,106,613.75
  5. Step 5: Solve for x
    x = 14,083,106,613.75/177,534
  6. Step 6: Final answer
    x = 79,326.25

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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.