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Finding the Fourth Proportional to 191,141.80, 286,712.70 and 97,829.80

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Solution

The fourth proportional to 191,141.80, 286,712.70 and 97,829.80 is: 146,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,141.80 : 286,712.70 = 97,829.80 : x
  2. Step 2: Convert to fraction form
    191,141.80/286,712.70 = 97,829.80/x
  3. Step 3: Cross multiply
    191,141.80x = 286,712.70 × 97,829.80
  4. Step 4: Simplify right side
    191,141.80x = 28,049,046,098.46
  5. Step 5: Solve for x
    x = 28,049,046,098.46/191,141.80
  6. Step 6: Final answer
    x = 146,744.70

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1.5x scale

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.