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Finding the Fourth Proportional to 150,723.04, 207,998.32 and 83,655.04

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Solution

The fourth proportional to 150,723.04, 207,998.32 and 83,655.04 is: 115,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,723.04 : 207,998.32 = 83,655.04 : x
  2. Step 2: Convert to fraction form
    150,723.04/207,998.32 = 83,655.04/x
  3. Step 3: Cross multiply
    150,723.04x = 207,998.32 × 83,655.04
  4. Step 4: Simplify right side
    150,723.04x = 17,400,107,779.53
  5. Step 5: Solve for x
    x = 17,400,107,779.53/150,723.04
  6. Step 6: Final answer
    x = 115,444.25

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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.