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Finding the Fourth Proportional to 225,232, 310,822.40 and 124,632.16

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Solution

The fourth proportional to 225,232, 310,822.40 and 124,632.16 is: 171,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,232 : 310,822.40 = 124,632.16 : x
  2. Step 2: Convert to fraction form
    225,232/310,822.40 = 124,632.16/x
  3. Step 3: Cross multiply
    225,232x = 310,822.40 × 124,632.16
  4. Step 4: Simplify right side
    225,232x = 38,738,467,088.38
  5. Step 5: Solve for x
    x = 38,738,467,088.38/225,232
  6. Step 6: Final answer
    x = 171,993.62

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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.