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Finding the Fourth Proportional to 142,292.64, 213,438.93 and 37,111.32

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Solution

The fourth proportional to 142,292.64, 213,438.93 and 37,111.32 is: 55,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,292.64 : 213,438.93 = 37,111.32 : x
  2. Step 2: Convert to fraction form
    142,292.64/213,438.93 = 37,111.32/x
  3. Step 3: Cross multiply
    142,292.64x = 213,438.93 × 37,111.32
  4. Step 4: Simplify right side
    142,292.64x = 7,921,000,431.69
  5. Step 5: Solve for x
    x = 7,921,000,431.69/142,292.64
  6. Step 6: Final answer
    x = 55,666.97

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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.