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Finding the Fourth Proportional to 242,006.40, 363,009.60 and 175,132.80

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Solution

The fourth proportional to 242,006.40, 363,009.60 and 175,132.80 is: 262,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,006.40 : 363,009.60 = 175,132.80 : x
  2. Step 2: Convert to fraction form
    242,006.40/363,009.60 = 175,132.80/x
  3. Step 3: Cross multiply
    242,006.40x = 363,009.60 × 175,132.80
  4. Step 4: Simplify right side
    242,006.40x = 63,574,887,674.88
  5. Step 5: Solve for x
    x = 63,574,887,674.88/242,006.40
  6. Step 6: Final answer
    x = 262,699.20

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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.