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Finding the Fourth Proportional to 97,798.24, 134,952.24 and 77,703.76

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Solution

The fourth proportional to 97,798.24, 134,952.24 and 77,703.76 is: 107,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,798.24 : 134,952.24 = 77,703.76 : x
  2. Step 2: Convert to fraction form
    97,798.24/134,952.24 = 77,703.76/x
  3. Step 3: Cross multiply
    97,798.24x = 134,952.24 × 77,703.76
  4. Step 4: Simplify right side
    97,798.24x = 10,486,296,468.42
  5. Step 5: Solve for x
    x = 10,486,296,468.42/97,798.24
  6. Step 6: Final answer
    x = 107,223.77

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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.