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Finding the Fourth Proportional to 186,346.60, 257,155.74 and 101,463.66

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Solution

The fourth proportional to 186,346.60, 257,155.74 and 101,463.66 is: 140,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,346.60 : 257,155.74 = 101,463.66 : x
  2. Step 2: Convert to fraction form
    186,346.60/257,155.74 = 101,463.66/x
  3. Step 3: Cross multiply
    186,346.60x = 257,155.74 × 101,463.66
  4. Step 4: Simplify right side
    186,346.60x = 26,091,962,570.41
  5. Step 5: Solve for x
    x = 26,091,962,570.41/186,346.60
  6. Step 6: Final answer
    x = 140,018.45

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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.