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Finding the Fourth Proportional to 142,495.80, 213,762.90 and 49,030.20

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Solution

The fourth proportional to 142,495.80, 213,762.90 and 49,030.20 is: 73,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,495.80 : 213,762.90 = 49,030.20 : x
  2. Step 2: Convert to fraction form
    142,495.80/213,762.90 = 49,030.20/x
  3. Step 3: Cross multiply
    142,495.80x = 213,762.90 × 49,030.20
  4. Step 4: Simplify right side
    142,495.80x = 10,480,837,739.58
  5. Step 5: Solve for x
    x = 10,480,837,739.58/142,495.80
  6. Step 6: Final answer
    x = 73,551.91

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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.