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Finding the Fourth Proportional to 191,802.80, 288,006.60 and 112,977.20

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Solution

The fourth proportional to 191,802.80, 288,006.60 and 112,977.20 is: 169,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,802.80 : 288,006.60 = 112,977.20 : x
  2. Step 2: Convert to fraction form
    191,802.80/288,006.60 = 112,977.20/x
  3. Step 3: Cross multiply
    191,802.80x = 288,006.60 × 112,977.20
  4. Step 4: Simplify right side
    191,802.80x = 32,538,179,249.52
  5. Step 5: Solve for x
    x = 32,538,179,249.52/191,802.80
  6. Step 6: Final answer
    x = 169,643.92

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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.