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Finding the Fourth Proportional to 233,267.84, 321,897.84 and 132,663.68

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Solution

The fourth proportional to 233,267.84, 321,897.84 and 132,663.68 is: 183,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,267.84 : 321,897.84 = 132,663.68 : x
  2. Step 2: Convert to fraction form
    233,267.84/321,897.84 = 132,663.68/x
  3. Step 3: Cross multiply
    233,267.84x = 321,897.84 × 132,663.68
  4. Step 4: Simplify right side
    233,267.84x = 42,704,152,038.45
  5. Step 5: Solve for x
    x = 42,704,152,038.45/233,267.84
  6. Step 6: Final answer
    x = 183,069.18

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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.