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Finding the Fourth Proportional to 142,646.67, 213,953.81 and 37,473.84

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Solution

The fourth proportional to 142,646.67, 213,953.81 and 37,473.84 is: 56,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646.67 : 213,953.81 = 37,473.84 : x
  2. Step 2: Convert to fraction form
    142,646.67/213,953.81 = 37,473.84/x
  3. Step 3: Cross multiply
    142,646.67x = 213,953.81 × 37,473.84
  4. Step 4: Simplify right side
    142,646.67x = 8,017,670,655.96
  5. Step 5: Solve for x
    x = 8,017,670,655.96/142,646.67
  6. Step 6: Final answer
    x = 56,206.50

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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.