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Finding the Fourth Proportional to 110,409.06, 152,384.46 and 65,084.46

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Solution

The fourth proportional to 110,409.06, 152,384.46 and 65,084.46 is: 89,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,409.06 : 152,384.46 = 65,084.46 : x
  2. Step 2: Convert to fraction form
    110,409.06/152,384.46 = 65,084.46/x
  3. Step 3: Cross multiply
    110,409.06x = 152,384.46 × 65,084.46
  4. Step 4: Simplify right side
    110,409.06x = 9,917,860,291.49
  5. Step 5: Solve for x
    x = 9,917,860,291.49/110,409.06
  6. Step 6: Final answer
    x = 89,828.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.