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Finding the Fourth Proportional to 114,165, 157,547.70 and 63,873.72

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Solution

The fourth proportional to 114,165, 157,547.70 and 63,873.72 is: 88,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165 : 157,547.70 = 63,873.72 : x
  2. Step 2: Convert to fraction form
    114,165/157,547.70 = 63,873.72/x
  3. Step 3: Cross multiply
    114,165x = 157,547.70 × 63,873.72
  4. Step 4: Simplify right side
    114,165x = 10,063,157,676.44
  5. Step 5: Solve for x
    x = 10,063,157,676.44/114,165
  6. Step 6: Final answer
    x = 88,145.73

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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.