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Finding the Fourth Proportional to 161,160.94, 241,741.41 and 61,298.07

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Solution

The fourth proportional to 161,160.94, 241,741.41 and 61,298.07 is: 91,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,160.94 : 241,741.41 = 61,298.07 : x
  2. Step 2: Convert to fraction form
    161,160.94/241,741.41 = 61,298.07/x
  3. Step 3: Cross multiply
    161,160.94x = 241,741.41 × 61,298.07
  4. Step 4: Simplify right side
    161,160.94x = 14,818,281,872.08
  5. Step 5: Solve for x
    x = 14,818,281,872.08/161,160.94
  6. Step 6: Final answer
    x = 91,947.11

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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.