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Finding the Fourth Proportional to 265,542.72, 398,156.02 and 105,532.08

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Solution

The fourth proportional to 265,542.72, 398,156.02 and 105,532.08 is: 158,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,542.72 : 398,156.02 = 105,532.08 : x
  2. Step 2: Convert to fraction form
    265,542.72/398,156.02 = 105,532.08/x
  3. Step 3: Cross multiply
    265,542.72x = 398,156.02 × 105,532.08
  4. Step 4: Simplify right side
    265,542.72x = 42,018,232,955.12
  5. Step 5: Solve for x
    x = 42,018,232,955.12/265,542.72
  6. Step 6: Final answer
    x = 158,235.30

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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.