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Finding the Fourth Proportional to 145,950.83, 218,935.47 and 61,695.29

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Solution

The fourth proportional to 145,950.83, 218,935.47 and 61,695.29 is: 92,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950.83 : 218,935.47 = 61,695.29 : x
  2. Step 2: Convert to fraction form
    145,950.83/218,935.47 = 61,695.29/x
  3. Step 3: Cross multiply
    145,950.83x = 218,935.47 × 61,695.29
  4. Step 4: Simplify right side
    145,950.83x = 13,507,286,218.26
  5. Step 5: Solve for x
    x = 13,507,286,218.26/145,950.83
  6. Step 6: Final answer
    x = 92,546.83

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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.