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Finding the Fourth Proportional to 169,382, 233,730.36 and 97,785.12

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Solution

The fourth proportional to 169,382, 233,730.36 and 97,785.12 is: 134,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,382 : 233,730.36 = 97,785.12 : x
  2. Step 2: Convert to fraction form
    169,382/233,730.36 = 97,785.12/x
  3. Step 3: Cross multiply
    169,382x = 233,730.36 × 97,785.12
  4. Step 4: Simplify right side
    169,382x = 22,855,351,300.24
  5. Step 5: Solve for x
    x = 22,855,351,300.24/169,382
  6. Step 6: Final answer
    x = 134,933.77

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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.