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Finding the Fourth Proportional to 537,208.30, 805,724.80 and 158,040.32

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Solution

The fourth proportional to 537,208.30, 805,724.80 and 158,040.32 is: 237,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,208.30 : 805,724.80 = 158,040.32 : x
  2. Step 2: Convert to fraction form
    537,208.30/805,724.80 = 158,040.32/x
  3. Step 3: Cross multiply
    537,208.30x = 805,724.80 × 158,040.32
  4. Step 4: Simplify right side
    537,208.30x = 127,337,005,223.94
  5. Step 5: Solve for x
    x = 127,337,005,223.94/537,208.30
  6. Step 6: Final answer
    x = 237,034.69

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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.