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Finding the Fourth Proportional to 225,602.10, 311,426.95 and 152,030.66

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Solution

The fourth proportional to 225,602.10, 311,426.95 and 152,030.66 is: 209,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,602.10 : 311,426.95 = 152,030.66 : x
  2. Step 2: Convert to fraction form
    225,602.10/311,426.95 = 152,030.66/x
  3. Step 3: Cross multiply
    225,602.10x = 311,426.95 × 152,030.66
  4. Step 4: Simplify right side
    225,602.10x = 47,346,445,148.78
  5. Step 5: Solve for x
    x = 47,346,445,148.78/225,602.10
  6. Step 6: Final answer
    x = 209,867.04

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