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Finding the Fourth Proportional to 234,978.08, 324,268.65 and 127,547.17

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Solution

The fourth proportional to 234,978.08, 324,268.65 and 127,547.17 is: 176,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,978.08 : 324,268.65 = 127,547.17 : x
  2. Step 2: Convert to fraction form
    234,978.08/324,268.65 = 127,547.17/x
  3. Step 3: Cross multiply
    234,978.08x = 324,268.65 × 127,547.17
  4. Step 4: Simplify right side
    234,978.08x = 41,359,547,816.55
  5. Step 5: Solve for x
    x = 41,359,547,816.55/234,978.08
  6. Step 6: Final answer
    x = 176,014.50

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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.