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Finding the Fourth Proportional to 102,393.93, 141,303.30 and 57,071.40

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Solution

The fourth proportional to 102,393.93, 141,303.30 and 57,071.40 is: 78,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.93 : 141,303.30 = 57,071.40 : x
  2. Step 2: Convert to fraction form
    102,393.93/141,303.30 = 57,071.40/x
  3. Step 3: Cross multiply
    102,393.93x = 141,303.30 × 57,071.40
  4. Step 4: Simplify right side
    102,393.93x = 8,064,377,155.62
  5. Step 5: Solve for x
    x = 8,064,377,155.62/102,393.93
  6. Step 6: Final answer
    x = 78,758.35

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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.