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Finding the Fourth Proportional to 101,577.60, 152,366.40 and 42,412.80

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Solution

The fourth proportional to 101,577.60, 152,366.40 and 42,412.80 is: 63,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,577.60 : 152,366.40 = 42,412.80 : x
  2. Step 2: Convert to fraction form
    101,577.60/152,366.40 = 42,412.80/x
  3. Step 3: Cross multiply
    101,577.60x = 152,366.40 × 42,412.80
  4. Step 4: Simplify right side
    101,577.60x = 6,462,285,649.92
  5. Step 5: Solve for x
    x = 6,462,285,649.92/101,577.60
  6. Step 6: Final answer
    x = 63,619.20

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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.