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Finding the Fourth Proportional to 191,955.20, 287,932.80 and 98,643.20

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Solution

The fourth proportional to 191,955.20, 287,932.80 and 98,643.20 is: 147,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,955.20 : 287,932.80 = 98,643.20 : x
  2. Step 2: Convert to fraction form
    191,955.20/287,932.80 = 98,643.20/x
  3. Step 3: Cross multiply
    191,955.20x = 287,932.80 × 98,643.20
  4. Step 4: Simplify right side
    191,955.20x = 28,402,612,776.96
  5. Step 5: Solve for x
    x = 28,402,612,776.96/191,955.20
  6. Step 6: Final answer
    x = 147,964.80

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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.