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Finding the Fourth Proportional to 235,905.94, 353,543.64 and 86,005.42

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Solution

The fourth proportional to 235,905.94, 353,543.64 and 86,005.42 is: 128,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,905.94 : 353,543.64 = 86,005.42 : x
  2. Step 2: Convert to fraction form
    235,905.94/353,543.64 = 86,005.42/x
  3. Step 3: Cross multiply
    235,905.94x = 353,543.64 × 86,005.42
  4. Step 4: Simplify right side
    235,905.94x = 30,406,669,246.53
  5. Step 5: Solve for x
    x = 30,406,669,246.53/235,905.94
  6. Step 6: Final answer
    x = 128,893.19

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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.