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Finding the Fourth Proportional to 242,296.80, 363,315.60 and 101,896.80

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Solution

The fourth proportional to 242,296.80, 363,315.60 and 101,896.80 is: 152,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,296.80 : 363,315.60 = 101,896.80 : x
  2. Step 2: Convert to fraction form
    242,296.80/363,315.60 = 101,896.80/x
  3. Step 3: Cross multiply
    242,296.80x = 363,315.60 × 101,896.80
  4. Step 4: Simplify right side
    242,296.80x = 37,020,697,030.08
  5. Step 5: Solve for x
    x = 37,020,697,030.08/242,296.80
  6. Step 6: Final answer
    x = 152,790.70

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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.