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Finding the Fourth Proportional to 321,801.61, 482,780.45 and 97,148.63

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Solution

The fourth proportional to 321,801.61, 482,780.45 and 97,148.63 is: 145,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,801.61 : 482,780.45 = 97,148.63 : x
  2. Step 2: Convert to fraction form
    321,801.61/482,780.45 = 97,148.63/x
  3. Step 3: Cross multiply
    321,801.61x = 482,780.45 × 97,148.63
  4. Step 4: Simplify right side
    321,801.61x = 46,901,459,308.28
  5. Step 5: Solve for x
    x = 46,901,459,308.28/321,801.61
  6. Step 6: Final answer
    x = 145,746.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.