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Finding the Fourth Proportional to 242,907.40, 363,923.70 and 149,303.80

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Solution

The fourth proportional to 242,907.40, 363,923.70 and 149,303.80 is: 223,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,907.40 : 363,923.70 = 149,303.80 : x
  2. Step 2: Convert to fraction form
    242,907.40/363,923.70 = 149,303.80/x
  3. Step 3: Cross multiply
    242,907.40x = 363,923.70 × 149,303.80
  4. Step 4: Simplify right side
    242,907.40x = 54,335,191,320.06
  5. Step 5: Solve for x
    x = 54,335,191,320.06/242,907.40
  6. Step 6: Final answer
    x = 223,686.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.