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Finding the Fourth Proportional to 157,983.83, 218,017.74 and 86,363.84

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Solution

The fourth proportional to 157,983.83, 218,017.74 and 86,363.84 is: 119,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,983.83 : 218,017.74 = 86,363.84 : x
  2. Step 2: Convert to fraction form
    157,983.83/218,017.74 = 86,363.84/x
  3. Step 3: Cross multiply
    157,983.83x = 218,017.74 × 86,363.84
  4. Step 4: Simplify right side
    157,983.83x = 18,828,848,124.43
  5. Step 5: Solve for x
    x = 18,828,848,124.43/157,983.83
  6. Step 6: Final answer
    x = 119,182.13

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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.