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Finding the Fourth Proportional to 310,205.02, 465,339.90 and 85,565.50

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Solution

The fourth proportional to 310,205.02, 465,339.90 and 85,565.50 is: 128,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,205.02 : 465,339.90 = 85,565.50 : x
  2. Step 2: Convert to fraction form
    310,205.02/465,339.90 = 85,565.50/x
  3. Step 3: Cross multiply
    310,205.02x = 465,339.90 × 85,565.50
  4. Step 4: Simplify right side
    310,205.02x = 39,817,041,213.45
  5. Step 5: Solve for x
    x = 39,817,041,213.45/310,205.02
  6. Step 6: Final answer
    x = 128,357.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.