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Finding the Fourth Proportional to 186,749.92, 257,710.71 and 101,870.02

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Solution

The fourth proportional to 186,749.92, 257,710.71 and 101,870.02 is: 140,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,749.92 : 257,710.71 = 101,870.02 : x
  2. Step 2: Convert to fraction form
    186,749.92/257,710.71 = 101,870.02/x
  3. Step 3: Cross multiply
    186,749.92x = 257,710.71 × 101,870.02
  4. Step 4: Simplify right side
    186,749.92x = 26,252,995,181.91
  5. Step 5: Solve for x
    x = 26,252,995,181.91/186,749.92
  6. Step 6: Final answer
    x = 140,578.35

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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.