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Finding the Fourth Proportional to 227,960.87, 314,547.44 and 137,295.14

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Solution

The fourth proportional to 227,960.87, 314,547.44 and 137,295.14 is: 189,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,960.87 : 314,547.44 = 137,295.14 : x
  2. Step 2: Convert to fraction form
    227,960.87/314,547.44 = 137,295.14/x
  3. Step 3: Cross multiply
    227,960.87x = 314,547.44 × 137,295.14
  4. Step 4: Simplify right side
    227,960.87x = 43,185,832,552.23
  5. Step 5: Solve for x
    x = 43,185,832,552.23/227,960.87
  6. Step 6: Final answer
    x = 189,444.06

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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.