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Finding the Fourth Proportional to 186,348.04, 257,164.92 and 101,469.76

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Solution

The fourth proportional to 186,348.04, 257,164.92 and 101,469.76 is: 140,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,348.04 : 257,164.92 = 101,469.76 : x
  2. Step 2: Convert to fraction form
    186,348.04/257,164.92 = 101,469.76/x
  3. Step 3: Cross multiply
    186,348.04x = 257,164.92 × 101,469.76
  4. Step 4: Simplify right side
    186,348.04x = 26,094,462,712.82
  5. Step 5: Solve for x
    x = 26,094,462,712.82/186,348.04
  6. Step 6: Final answer
    x = 140,030.79

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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.