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Finding the Fourth Proportional to 207,214.12, 310,821.12 and 137,077.04

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Solution

The fourth proportional to 207,214.12, 310,821.12 and 137,077.04 is: 205,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,214.12 : 310,821.12 = 137,077.04 : x
  2. Step 2: Convert to fraction form
    207,214.12/310,821.12 = 137,077.04/x
  3. Step 3: Cross multiply
    207,214.12x = 310,821.12 × 137,077.04
  4. Step 4: Simplify right side
    207,214.12x = 42,606,439,099.08
  5. Step 5: Solve for x
    x = 42,606,439,099.08/207,214.12
  6. Step 6: Final answer
    x = 205,615.52

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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.