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Finding the Fourth Proportional to 191,465.40, 287,543.70 and 138,934.20

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Solution

The fourth proportional to 191,465.40, 287,543.70 and 138,934.20 is: 208,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,465.40 : 287,543.70 = 138,934.20 : x
  2. Step 2: Convert to fraction form
    191,465.40/287,543.70 = 138,934.20/x
  3. Step 3: Cross multiply
    191,465.40x = 287,543.70 × 138,934.20
  4. Step 4: Simplify right side
    191,465.40x = 39,949,653,924.54
  5. Step 5: Solve for x
    x = 39,949,653,924.54/191,465.40
  6. Step 6: Final answer
    x = 208,652.08

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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.