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Finding the Fourth Proportional to 268,301.76, 370,248.96 and 147,443.01

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Solution

The fourth proportional to 268,301.76, 370,248.96 and 147,443.01 is: 203,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,301.76 : 370,248.96 = 147,443.01 : x
  2. Step 2: Convert to fraction form
    268,301.76/370,248.96 = 147,443.01/x
  3. Step 3: Cross multiply
    268,301.76x = 370,248.96 × 147,443.01
  4. Step 4: Simplify right side
    268,301.76x = 54,590,621,111.77
  5. Step 5: Solve for x
    x = 54,590,621,111.77/268,301.76
  6. Step 6: Final answer
    x = 203,467.25

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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.