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Finding the Fourth Proportional to 145,594.92, 200,920.35 and 81,933.78

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Solution

The fourth proportional to 145,594.92, 200,920.35 and 81,933.78 is: 113,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,594.92 : 200,920.35 = 81,933.78 : x
  2. Step 2: Convert to fraction form
    145,594.92/200,920.35 = 81,933.78/x
  3. Step 3: Cross multiply
    145,594.92x = 200,920.35 × 81,933.78
  4. Step 4: Simplify right side
    145,594.92x = 16,462,163,754.42
  5. Step 5: Solve for x
    x = 16,462,163,754.42/145,594.92
  6. Step 6: Final answer
    x = 113,068.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.