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Finding the Fourth Proportional to 102,235.46, 153,228.84 and 54,733.82

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Solution

The fourth proportional to 102,235.46, 153,228.84 and 54,733.82 is: 82,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,235.46 : 153,228.84 = 54,733.82 : x
  2. Step 2: Convert to fraction form
    102,235.46/153,228.84 = 54,733.82/x
  3. Step 3: Cross multiply
    102,235.46x = 153,228.84 × 54,733.82
  4. Step 4: Simplify right side
    102,235.46x = 8,386,798,981.22
  5. Step 5: Solve for x
    x = 8,386,798,981.22/102,235.46
  6. Step 6: Final answer
    x = 82,034.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.