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Finding the Fourth Proportional to 97,867, 146,856.95 and 52,888.46

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Solution

The fourth proportional to 97,867, 146,856.95 and 52,888.46 is: 79,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,867 : 146,856.95 = 52,888.46 : x
  2. Step 2: Convert to fraction form
    97,867/146,856.95 = 52,888.46/x
  3. Step 3: Cross multiply
    97,867x = 146,856.95 × 52,888.46
  4. Step 4: Simplify right side
    97,867x = 7,767,037,925.80
  5. Step 5: Solve for x
    x = 7,767,037,925.80/97,867
  6. Step 6: Final answer
    x = 79,363.20

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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.