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Finding the Fourth Proportional to 102,894.46, 155,112.88 and 96,036.16

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Solution

The fourth proportional to 102,894.46, 155,112.88 and 96,036.16 is: 144,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894.46 : 155,112.88 = 96,036.16 : x
  2. Step 2: Convert to fraction form
    102,894.46/155,112.88 = 96,036.16/x
  3. Step 3: Cross multiply
    102,894.46x = 155,112.88 × 96,036.16
  4. Step 4: Simplify right side
    102,894.46x = 14,896,445,361.74
  5. Step 5: Solve for x
    x = 14,896,445,361.74/102,894.46
  6. Step 6: Final answer
    x = 144,774.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.