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Finding the Fourth Proportional to 142,690.69, 214,036.04 and 37,509.49

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Solution

The fourth proportional to 142,690.69, 214,036.04 and 37,509.49 is: 56,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,690.69 : 214,036.04 = 37,509.49 : x
  2. Step 2: Convert to fraction form
    142,690.69/214,036.04 = 37,509.49/x
  3. Step 3: Cross multiply
    142,690.69x = 214,036.04 × 37,509.49
  4. Step 4: Simplify right side
    142,690.69x = 8,028,382,702.02
  5. Step 5: Solve for x
    x = 8,028,382,702.02/142,690.69
  6. Step 6: Final answer
    x = 56,264.24

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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.