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Finding the Fourth Proportional to 100,177.51, 138,243.16 and 54,854.67

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Solution

The fourth proportional to 100,177.51, 138,243.16 and 54,854.67 is: 75,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177.51 : 138,243.16 = 54,854.67 : x
  2. Step 2: Convert to fraction form
    100,177.51/138,243.16 = 54,854.67/x
  3. Step 3: Cross multiply
    100,177.51x = 138,243.16 × 54,854.67
  4. Step 4: Simplify right side
    100,177.51x = 7,583,282,422.36
  5. Step 5: Solve for x
    x = 7,583,282,422.36/100,177.51
  6. Step 6: Final answer
    x = 75,698.45

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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.