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Finding the Fourth Proportional to 102,188, 153,282 and 28,316

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Solution

The fourth proportional to 102,188, 153,282 and 28,316 is: 42,474

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188 : 153,282 = 28,316 : x
  2. Step 2: Convert to fraction form
    102,188/153,282 = 28,316/x
  3. Step 3: Cross multiply
    102,188x = 153,282 × 28,316
  4. Step 4: Simplify right side
    102,188x = 4,340,333,112
  5. Step 5: Solve for x
    x = 4,340,333,112/102,188
  6. Step 6: Final answer
    x = 42,474

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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.