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Finding the Fourth Proportional to 157,496.96, 217,341.06 and 85,878.38

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Solution

The fourth proportional to 157,496.96, 217,341.06 and 85,878.38 is: 118,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,496.96 : 217,341.06 = 85,878.38 : x
  2. Step 2: Convert to fraction form
    157,496.96/217,341.06 = 85,878.38/x
  3. Step 3: Cross multiply
    157,496.96x = 217,341.06 × 85,878.38
  4. Step 4: Simplify right side
    157,496.96x = 18,664,897,053.58
  5. Step 5: Solve for x
    x = 18,664,897,053.58/157,496.96
  6. Step 6: Final answer
    x = 118,509.57

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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.