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Finding the Fourth Proportional to 191,730.20, 287,595.30 and 120,871.40

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Solution

The fourth proportional to 191,730.20, 287,595.30 and 120,871.40 is: 181,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,730.20 : 287,595.30 = 120,871.40 : x
  2. Step 2: Convert to fraction form
    191,730.20/287,595.30 = 120,871.40/x
  3. Step 3: Cross multiply
    191,730.20x = 287,595.30 × 120,871.40
  4. Step 4: Simplify right side
    191,730.20x = 34,762,046,544.42
  5. Step 5: Solve for x
    x = 34,762,046,544.42/191,730.20
  6. Step 6: Final answer
    x = 181,307.10

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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.