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Finding the Fourth Proportional to 169,505.76, 233,960.25 and 97,927.32

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Solution

The fourth proportional to 169,505.76, 233,960.25 and 97,927.32 is: 135,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,505.76 : 233,960.25 = 97,927.32 : x
  2. Step 2: Convert to fraction form
    169,505.76/233,960.25 = 97,927.32/x
  3. Step 3: Cross multiply
    169,505.76x = 233,960.25 × 97,927.32
  4. Step 4: Simplify right side
    169,505.76x = 22,911,100,269.03
  5. Step 5: Solve for x
    x = 22,911,100,269.03/169,505.76
  6. Step 6: Final answer
    x = 135,164.14

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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.