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Finding the Fourth Proportional to 102,846.96, 141,888.24 and 64,584

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Solution

The fourth proportional to 102,846.96, 141,888.24 and 64,584 is: 89,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,846.96 : 141,888.24 = 64,584 : x
  2. Step 2: Convert to fraction form
    102,846.96/141,888.24 = 64,584/x
  3. Step 3: Cross multiply
    102,846.96x = 141,888.24 × 64,584
  4. Step 4: Simplify right side
    102,846.96x = 9,163,710,092.16
  5. Step 5: Solve for x
    x = 9,163,710,092.16/102,846.96
  6. Step 6: Final answer
    x = 89,100.45

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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.