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Finding the Fourth Proportional to 165,207.60, 248,005.80 and 164,041.20

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Solution

The fourth proportional to 165,207.60, 248,005.80 and 164,041.20 is: 246,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,207.60 : 248,005.80 = 164,041.20 : x
  2. Step 2: Convert to fraction form
    165,207.60/248,005.80 = 164,041.20/x
  3. Step 3: Cross multiply
    165,207.60x = 248,005.80 × 164,041.20
  4. Step 4: Simplify right side
    165,207.60x = 40,683,169,038.96
  5. Step 5: Solve for x
    x = 40,683,169,038.96/165,207.60
  6. Step 6: Final answer
    x = 246,254.83

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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.