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Finding the Fourth Proportional to 169,198.45, 233,478.30 and 97,564.63

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Solution

The fourth proportional to 169,198.45, 233,478.30 and 97,564.63 is: 134,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,198.45 : 233,478.30 = 97,564.63 : x
  2. Step 2: Convert to fraction form
    169,198.45/233,478.30 = 97,564.63/x
  3. Step 3: Cross multiply
    169,198.45x = 233,478.30 × 97,564.63
  4. Step 4: Simplify right side
    169,198.45x = 22,779,223,952.53
  5. Step 5: Solve for x
    x = 22,779,223,952.53/169,198.45
  6. Step 6: Final answer
    x = 134,630.22

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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.