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Finding the Fourth Proportional to 100,883.94, 151,159.80 and 70,492.14

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Solution

The fourth proportional to 100,883.94, 151,159.80 and 70,492.14 is: 105,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,883.94 : 151,159.80 = 70,492.14 : x
  2. Step 2: Convert to fraction form
    100,883.94/151,159.80 = 70,492.14/x
  3. Step 3: Cross multiply
    100,883.94x = 151,159.80 × 70,492.14
  4. Step 4: Simplify right side
    100,883.94x = 10,655,577,783.97
  5. Step 5: Solve for x
    x = 10,655,577,783.97/100,883.94
  6. Step 6: Final answer
    x = 105,622.14

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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.