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Finding the Fourth Proportional to 233,402.84, 322,097.86 and 132,807.32

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Solution

The fourth proportional to 233,402.84, 322,097.86 and 132,807.32 is: 183,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,402.84 : 322,097.86 = 132,807.32 : x
  2. Step 2: Convert to fraction form
    233,402.84/322,097.86 = 132,807.32/x
  3. Step 3: Cross multiply
    233,402.84x = 322,097.86 × 132,807.32
  4. Step 4: Simplify right side
    233,402.84x = 42,776,953,564.34
  5. Step 5: Solve for x
    x = 42,776,953,564.34/233,402.84
  6. Step 6: Final answer
    x = 183,275.21

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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.