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Finding the Fourth Proportional to 186,502.90, 279,837.03 and 97,735.30

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Solution

The fourth proportional to 186,502.90, 279,837.03 and 97,735.30 is: 146,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,502.90 : 279,837.03 = 97,735.30 : x
  2. Step 2: Convert to fraction form
    186,502.90/279,837.03 = 97,735.30/x
  3. Step 3: Cross multiply
    186,502.90x = 279,837.03 × 97,735.30
  4. Step 4: Simplify right side
    186,502.90x = 27,349,956,078.16
  5. Step 5: Solve for x
    x = 27,349,956,078.16/186,502.90
  6. Step 6: Final answer
    x = 146,646.28

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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.