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Finding the Fourth Proportional to 295,142.40, 442,713.60 and 73,526.40

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Solution

The fourth proportional to 295,142.40, 442,713.60 and 73,526.40 is: 110,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,142.40 : 442,713.60 = 73,526.40 : x
  2. Step 2: Convert to fraction form
    295,142.40/442,713.60 = 73,526.40/x
  3. Step 3: Cross multiply
    295,142.40x = 442,713.60 × 73,526.40
  4. Step 4: Simplify right side
    295,142.40x = 32,551,137,239.04
  5. Step 5: Solve for x
    x = 32,551,137,239.04/295,142.40
  6. Step 6: Final answer
    x = 110,289.60

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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.