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Finding the Fourth Proportional to 225,602.60, 311,427.64 and 152,031.17

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Solution

The fourth proportional to 225,602.60, 311,427.64 and 152,031.17 is: 209,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,602.60 : 311,427.64 = 152,031.17 : x
  2. Step 2: Convert to fraction form
    225,602.60/311,427.64 = 152,031.17/x
  3. Step 3: Cross multiply
    225,602.60x = 311,427.64 × 152,031.17
  4. Step 4: Simplify right side
    225,602.60x = 47,346,706,922.40
  5. Step 5: Solve for x
    x = 47,346,706,922.40/225,602.60
  6. Step 6: Final answer
    x = 209,867.74

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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.