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Finding the Fourth Proportional to 233,337.71, 321,921.84 and 152,811.16

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Solution

The fourth proportional to 233,337.71, 321,921.84 and 152,811.16 is: 210,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,337.71 : 321,921.84 = 152,811.16 : x
  2. Step 2: Convert to fraction form
    233,337.71/321,921.84 = 152,811.16/x
  3. Step 3: Cross multiply
    233,337.71x = 321,921.84 × 152,811.16
  4. Step 4: Simplify right side
    233,337.71x = 49,193,249,567.97
  5. Step 5: Solve for x
    x = 49,193,249,567.97/233,337.71
  6. Step 6: Final answer
    x = 210,824.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.