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Finding the Fourth Proportional to 142,698.36, 214,049.16 and 37,527.96

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Solution

The fourth proportional to 142,698.36, 214,049.16 and 37,527.96 is: 56,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,698.36 : 214,049.16 = 37,527.96 : x
  2. Step 2: Convert to fraction form
    142,698.36/214,049.16 = 37,527.96/x
  3. Step 3: Cross multiply
    142,698.36x = 214,049.16 × 37,527.96
  4. Step 4: Simplify right side
    142,698.36x = 8,032,828,314.51
  5. Step 5: Solve for x
    x = 8,032,828,314.51/142,698.36
  6. Step 6: Final answer
    x = 56,292.37

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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.