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Finding the Fourth Proportional to 154,783.48, 232,027.10 and 98,449.06

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Solution

The fourth proportional to 154,783.48, 232,027.10 and 98,449.06 is: 147,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,783.48 : 232,027.10 = 98,449.06 : x
  2. Step 2: Convert to fraction form
    154,783.48/232,027.10 = 98,449.06/x
  3. Step 3: Cross multiply
    154,783.48x = 232,027.10 × 98,449.06
  4. Step 4: Simplify right side
    154,783.48x = 22,842,849,889.53
  5. Step 5: Solve for x
    x = 22,842,849,889.53/154,783.48
  6. Step 6: Final answer
    x = 147,579.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.