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Finding the Fourth Proportional to 115,852.16, 173,484.12 and 97,082.84

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Solution

The fourth proportional to 115,852.16, 173,484.12 and 97,082.84 is: 145,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852.16 : 173,484.12 = 97,082.84 : x
  2. Step 2: Convert to fraction form
    115,852.16/173,484.12 = 97,082.84/x
  3. Step 3: Cross multiply
    115,852.16x = 173,484.12 × 97,082.84
  4. Step 4: Simplify right side
    115,852.16x = 16,842,331,064.50
  5. Step 5: Solve for x
    x = 16,842,331,064.50/115,852.16
  6. Step 6: Final answer
    x = 145,377.79

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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.