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Finding the Fourth Proportional to 310,841.60, 466,148.16 and 111,108.08

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Solution

The fourth proportional to 310,841.60, 466,148.16 and 111,108.08 is: 166,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,841.60 : 466,148.16 = 111,108.08 : x
  2. Step 2: Convert to fraction form
    310,841.60/466,148.16 = 111,108.08/x
  3. Step 3: Cross multiply
    310,841.60x = 466,148.16 × 111,108.08
  4. Step 4: Simplify right side
    310,841.60x = 51,792,827,053.13
  5. Step 5: Solve for x
    x = 51,792,827,053.13/310,841.60
  6. Step 6: Final answer
    x = 166,621.29

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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.