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Finding the Fourth Proportional to 235,050.56, 352,501.32 and 77,242.40

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Solution

The fourth proportional to 235,050.56, 352,501.32 and 77,242.40 is: 115,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,050.56 : 352,501.32 = 77,242.40 : x
  2. Step 2: Convert to fraction form
    235,050.56/352,501.32 = 77,242.40/x
  3. Step 3: Cross multiply
    235,050.56x = 352,501.32 × 77,242.40
  4. Step 4: Simplify right side
    235,050.56x = 27,228,047,959.97
  5. Step 5: Solve for x
    x = 27,228,047,959.97/235,050.56
  6. Step 6: Final answer
    x = 115,839.11

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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.