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Finding the Fourth Proportional to 163,962.77, 245,978.71 and 53,146.13

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Solution

The fourth proportional to 163,962.77, 245,978.71 and 53,146.13 is: 79,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,962.77 : 245,978.71 = 53,146.13 : x
  2. Step 2: Convert to fraction form
    163,962.77/245,978.71 = 53,146.13/x
  3. Step 3: Cross multiply
    163,962.77x = 245,978.71 × 53,146.13
  4. Step 4: Simplify right side
    163,962.77x = 13,072,815,136.13
  5. Step 5: Solve for x
    x = 13,072,815,136.13/163,962.77
  6. Step 6: Final answer
    x = 79,730.39

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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.