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Finding the Fourth Proportional to 186,508.76, 279,845.84 and 97,741.16

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Solution

The fourth proportional to 186,508.76, 279,845.84 and 97,741.16 is: 146,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,508.76 : 279,845.84 = 97,741.16 : x
  2. Step 2: Convert to fraction form
    186,508.76/279,845.84 = 97,741.16/x
  3. Step 3: Cross multiply
    186,508.76x = 279,845.84 × 97,741.16
  4. Step 4: Simplify right side
    186,508.76x = 27,352,457,022.77
  5. Step 5: Solve for x
    x = 27,352,457,022.77/186,508.76
  6. Step 6: Final answer
    x = 146,655.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.