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Finding the Fourth Proportional to 243,152.60, 363,854.10 and 164,420.60

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Solution

The fourth proportional to 243,152.60, 363,854.10 and 164,420.60 is: 246,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,152.60 : 363,854.10 = 164,420.60 : x
  2. Step 2: Convert to fraction form
    243,152.60/363,854.10 = 164,420.60/x
  3. Step 3: Cross multiply
    243,152.60x = 363,854.10 × 164,420.60
  4. Step 4: Simplify right side
    243,152.60x = 59,825,109,434.46
  5. Step 5: Solve for x
    x = 59,825,109,434.46/243,152.60
  6. Step 6: Final answer
    x = 246,039.36

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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.