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Finding the Fourth Proportional to 114,445, 157,934.10 and 64,144.36

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Solution

The fourth proportional to 114,445, 157,934.10 and 64,144.36 is: 88,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,445 : 157,934.10 = 64,144.36 : x
  2. Step 2: Convert to fraction form
    114,445/157,934.10 = 64,144.36/x
  3. Step 3: Cross multiply
    114,445x = 157,934.10 × 64,144.36
  4. Step 4: Simplify right side
    114,445x = 10,130,581,766.68
  5. Step 5: Solve for x
    x = 10,130,581,766.68/114,445
  6. Step 6: Final answer
    x = 88,519.22

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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.