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Finding the Fourth Proportional to 210,097.49, 315,165.47 and 83,707.11

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Solution

The fourth proportional to 210,097.49, 315,165.47 and 83,707.11 is: 125,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,097.49 : 315,165.47 = 83,707.11 : x
  2. Step 2: Convert to fraction form
    210,097.49/315,165.47 = 83,707.11/x
  3. Step 3: Cross multiply
    210,097.49x = 315,165.47 × 83,707.11
  4. Step 4: Simplify right side
    210,097.49x = 26,381,590,246.96
  5. Step 5: Solve for x
    x = 26,381,590,246.96/210,097.49
  6. Step 6: Final answer
    x = 125,568.33

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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.