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Finding the Fourth Proportional to 105,121.84, 145,100.32 and 64,848.16

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Solution

The fourth proportional to 105,121.84, 145,100.32 and 64,848.16 is: 89,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,121.84 : 145,100.32 = 64,848.16 : x
  2. Step 2: Convert to fraction form
    105,121.84/145,100.32 = 64,848.16/x
  3. Step 3: Cross multiply
    105,121.84x = 145,100.32 × 64,848.16
  4. Step 4: Simplify right side
    105,121.84x = 9,409,488,767.41
  5. Step 5: Solve for x
    x = 9,409,488,767.41/105,121.84
  6. Step 6: Final answer
    x = 89,510.31

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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.