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Finding the Fourth Proportional to 186,953.67, 280,430.91 and 81,780.84

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Solution

The fourth proportional to 186,953.67, 280,430.91 and 81,780.84 is: 122,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,953.67 : 280,430.91 = 81,780.84 : x
  2. Step 2: Convert to fraction form
    186,953.67/280,430.91 = 81,780.84/x
  3. Step 3: Cross multiply
    186,953.67x = 280,430.91 × 81,780.84
  4. Step 4: Simplify right side
    186,953.67x = 22,933,875,381.76
  5. Step 5: Solve for x
    x = 22,933,875,381.76/186,953.67
  6. Step 6: Final answer
    x = 122,671.44

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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.