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Finding the Fourth Proportional to 114,769.40, 172,154.10 and 83,665.40

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Solution

The fourth proportional to 114,769.40, 172,154.10 and 83,665.40 is: 125,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,769.40 : 172,154.10 = 83,665.40 : x
  2. Step 2: Convert to fraction form
    114,769.40/172,154.10 = 83,665.40/x
  3. Step 3: Cross multiply
    114,769.40x = 172,154.10 × 83,665.40
  4. Step 4: Simplify right side
    114,769.40x = 14,403,341,638.14
  5. Step 5: Solve for x
    x = 14,403,341,638.14/114,769.40
  6. Step 6: Final answer
    x = 125,498.10

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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.