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Finding the Fourth Proportional to 142,303.55, 196,379.51 and 77,774.09

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Solution

The fourth proportional to 142,303.55, 196,379.51 and 77,774.09 is: 107,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,303.55 : 196,379.51 = 77,774.09 : x
  2. Step 2: Convert to fraction form
    142,303.55/196,379.51 = 77,774.09/x
  3. Step 3: Cross multiply
    142,303.55x = 196,379.51 × 77,774.09
  4. Step 4: Simplify right side
    142,303.55x = 15,273,236,314.13
  5. Step 5: Solve for x
    x = 15,273,236,314.13/142,303.55
  6. Step 6: Final answer
    x = 107,328.57

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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.