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Finding the Fourth Proportional to 161,209.60, 241,814.40 and 101,852.80

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Solution

The fourth proportional to 161,209.60, 241,814.40 and 101,852.80 is: 152,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,209.60 : 241,814.40 = 101,852.80 : x
  2. Step 2: Convert to fraction form
    161,209.60/241,814.40 = 101,852.80/x
  3. Step 3: Cross multiply
    161,209.60x = 241,814.40 × 101,852.80
  4. Step 4: Simplify right side
    161,209.60x = 24,629,473,720.32
  5. Step 5: Solve for x
    x = 24,629,473,720.32/161,209.60
  6. Step 6: Final answer
    x = 152,779.20

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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.