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Finding the Fourth Proportional to 154,953.60, 232,462.80 and 49,783.20

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Solution

The fourth proportional to 154,953.60, 232,462.80 and 49,783.20 is: 74,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,953.60 : 232,462.80 = 49,783.20 : x
  2. Step 2: Convert to fraction form
    154,953.60/232,462.80 = 49,783.20/x
  3. Step 3: Cross multiply
    154,953.60x = 232,462.80 × 49,783.20
  4. Step 4: Simplify right side
    154,953.60x = 11,572,742,064.96
  5. Step 5: Solve for x
    x = 11,572,742,064.96/154,953.60
  6. Step 6: Final answer
    x = 74,685.21

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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.