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Finding the Fourth Proportional to 142,312.76, 213,499.88 and 53,566.01

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Solution

The fourth proportional to 142,312.76, 213,499.88 and 53,566.01 is: 80,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,312.76 : 213,499.88 = 53,566.01 : x
  2. Step 2: Convert to fraction form
    142,312.76/213,499.88 = 53,566.01/x
  3. Step 3: Cross multiply
    142,312.76x = 213,499.88 × 53,566.01
  4. Step 4: Simplify right side
    142,312.76x = 11,436,336,674.56
  5. Step 5: Solve for x
    x = 11,436,336,674.56/142,312.76
  6. Step 6: Final answer
    x = 80,360.58

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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.