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Finding the Fourth Proportional to 186,780.98, 257,752.64 and 101,898.02

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Solution

The fourth proportional to 186,780.98, 257,752.64 and 101,898.02 is: 140,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780.98 : 257,752.64 = 101,898.02 : x
  2. Step 2: Convert to fraction form
    186,780.98/257,752.64 = 101,898.02/x
  3. Step 3: Cross multiply
    186,780.98x = 257,752.64 × 101,898.02
  4. Step 4: Simplify right side
    186,780.98x = 26,264,483,665.77
  5. Step 5: Solve for x
    x = 26,264,483,665.77/186,780.98
  6. Step 6: Final answer
    x = 140,616.48

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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.