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Finding the Fourth Proportional to 142,060.96, 196,045.23 and 77,530.69

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Solution

The fourth proportional to 142,060.96, 196,045.23 and 77,530.69 is: 106,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,060.96 : 196,045.23 = 77,530.69 : x
  2. Step 2: Convert to fraction form
    142,060.96/196,045.23 = 77,530.69/x
  3. Step 3: Cross multiply
    142,060.96x = 196,045.23 × 77,530.69
  4. Step 4: Simplify right side
    142,060.96x = 15,199,521,953.11
  5. Step 5: Solve for x
    x = 15,199,521,953.11/142,060.96
  6. Step 6: Final answer
    x = 106,992.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.