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Finding the Fourth Proportional to 169,298.16, 233,571.24 and 97,696.32

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Solution

The fourth proportional to 169,298.16, 233,571.24 and 97,696.32 is: 134,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,298.16 : 233,571.24 = 97,696.32 : x
  2. Step 2: Convert to fraction form
    169,298.16/233,571.24 = 97,696.32/x
  3. Step 3: Cross multiply
    169,298.16x = 233,571.24 × 97,696.32
  4. Step 4: Simplify right side
    169,298.16x = 22,819,050,605.84
  5. Step 5: Solve for x
    x = 22,819,050,605.84/169,298.16
  6. Step 6: Final answer
    x = 134,786.17

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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.