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Finding the Fourth Proportional to 262,675.83, 362,501.28 and 147,956.61

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Solution

The fourth proportional to 262,675.83, 362,501.28 and 147,956.61 is: 204,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,675.83 : 362,501.28 = 147,956.61 : x
  2. Step 2: Convert to fraction form
    262,675.83/362,501.28 = 147,956.61/x
  3. Step 3: Cross multiply
    262,675.83x = 362,501.28 × 147,956.61
  4. Step 4: Simplify right side
    262,675.83x = 53,634,460,509.46
  5. Step 5: Solve for x
    x = 53,634,460,509.46/262,675.83
  6. Step 6: Final answer
    x = 204,184.99

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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.