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Finding the Fourth Proportional to 177,595.48, 245,082.30 and 102,139

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Solution

The fourth proportional to 177,595.48, 245,082.30 and 102,139 is: 140,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,595.48 : 245,082.30 = 102,139 : x
  2. Step 2: Convert to fraction form
    177,595.48/245,082.30 = 102,139/x
  3. Step 3: Cross multiply
    177,595.48x = 245,082.30 × 102,139
  4. Step 4: Simplify right side
    177,595.48x = 25,032,461,039.70
  5. Step 5: Solve for x
    x = 25,032,461,039.70/177,595.48
  6. Step 6: Final answer
    x = 140,952.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.