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Finding the Fourth Proportional to 109,803.60, 164,967.84 and 70,437.60

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Solution

The fourth proportional to 109,803.60, 164,967.84 and 70,437.60 is: 105,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,803.60 : 164,967.84 = 70,437.60 : x
  2. Step 2: Convert to fraction form
    109,803.60/164,967.84 = 70,437.60/x
  3. Step 3: Cross multiply
    109,803.60x = 164,967.84 × 70,437.60
  4. Step 4: Simplify right side
    109,803.60x = 11,619,938,726.78
  5. Step 5: Solve for x
    x = 11,619,938,726.78/109,803.60
  6. Step 6: Final answer
    x = 105,824.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.