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Finding the Fourth Proportional to 206,852.60, 310,315.35 and 73,810.10

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Solution

The fourth proportional to 206,852.60, 310,315.35 and 73,810.10 is: 110,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.60 : 310,315.35 = 73,810.10 : x
  2. Step 2: Convert to fraction form
    206,852.60/310,315.35 = 73,810.10/x
  3. Step 3: Cross multiply
    206,852.60x = 310,315.35 × 73,810.10
  4. Step 4: Simplify right side
    206,852.60x = 22,904,407,015.04
  5. Step 5: Solve for x
    x = 22,904,407,015.04/206,852.60
  6. Step 6: Final answer
    x = 110,728.16

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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.