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Finding the Fourth Proportional to 130,212, 179,692.56 and 70,596

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Solution

The fourth proportional to 130,212, 179,692.56 and 70,596 is: 97,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,212 : 179,692.56 = 70,596 : x
  2. Step 2: Convert to fraction form
    130,212/179,692.56 = 70,596/x
  3. Step 3: Cross multiply
    130,212x = 179,692.56 × 70,596
  4. Step 4: Simplify right side
    130,212x = 12,685,575,965.76
  5. Step 5: Solve for x
    x = 12,685,575,965.76/130,212
  6. Step 6: Final answer
    x = 97,422.48

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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.