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Finding the Fourth Proportional to 157,404.68, 217,218.74 and 85,784.66

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Solution

The fourth proportional to 157,404.68, 217,218.74 and 85,784.66 is: 118,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,404.68 : 217,218.74 = 85,784.66 : x
  2. Step 2: Convert to fraction form
    157,404.68/217,218.74 = 85,784.66/x
  3. Step 3: Cross multiply
    157,404.68x = 217,218.74 × 85,784.66
  4. Step 4: Simplify right side
    157,404.68x = 18,634,034,241.51
  5. Step 5: Solve for x
    x = 18,634,034,241.51/157,404.68
  6. Step 6: Final answer
    x = 118,382.98

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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.