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Finding the Fourth Proportional to 223,494.81, 335,248.29 and 65,728.28

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Solution

The fourth proportional to 223,494.81, 335,248.29 and 65,728.28 is: 98,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,494.81 : 335,248.29 = 65,728.28 : x
  2. Step 2: Convert to fraction form
    223,494.81/335,248.29 = 65,728.28/x
  3. Step 3: Cross multiply
    223,494.81x = 335,248.29 × 65,728.28
  4. Step 4: Simplify right side
    223,494.81x = 22,035,291,798.40
  5. Step 5: Solve for x
    x = 22,035,291,798.40/223,494.81
  6. Step 6: Final answer
    x = 98,594.20

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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.