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Finding the Fourth Proportional to 101,854.30, 153,011.85 and 70,750.30

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Solution

The fourth proportional to 101,854.30, 153,011.85 and 70,750.30 is: 106,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,854.30 : 153,011.85 = 70,750.30 : x
  2. Step 2: Convert to fraction form
    101,854.30/153,011.85 = 70,750.30/x
  3. Step 3: Cross multiply
    101,854.30x = 153,011.85 × 70,750.30
  4. Step 4: Simplify right side
    101,854.30x = 10,825,634,291.06
  5. Step 5: Solve for x
    x = 10,825,634,291.06/101,854.30
  6. Step 6: Final answer
    x = 106,285.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.