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Finding the Fourth Proportional to 160,807.92, 241,041.65 and 54,090.29

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Solution

The fourth proportional to 160,807.92, 241,041.65 and 54,090.29 is: 81,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,807.92 : 241,041.65 = 54,090.29 : x
  2. Step 2: Convert to fraction form
    160,807.92/241,041.65 = 54,090.29/x
  3. Step 3: Cross multiply
    160,807.92x = 241,041.65 × 54,090.29
  4. Step 4: Simplify right side
    160,807.92x = 13,038,011,274.92
  5. Step 5: Solve for x
    x = 13,038,011,274.92/160,807.92
  6. Step 6: Final answer
    x = 81,078.17

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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.