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Finding the Fourth Proportional to 115,828.40, 173,798 and 65,267.76

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Solution

The fourth proportional to 115,828.40, 173,798 and 65,267.76 is: 97,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,828.40 : 173,798 = 65,267.76 : x
  2. Step 2: Convert to fraction form
    115,828.40/173,798 = 65,267.76/x
  3. Step 3: Cross multiply
    115,828.40x = 173,798 × 65,267.76
  4. Step 4: Simplify right side
    115,828.40x = 11,343,406,152.48
  5. Step 5: Solve for x
    x = 11,343,406,152.48/115,828.40
  6. Step 6: Final answer
    x = 97,932.86

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1.5x scale

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.