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Finding the Fourth Proportional to 208,526.52, 312,602.48 and 101,850.12

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Solution

The fourth proportional to 208,526.52, 312,602.48 and 101,850.12 is: 152,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,526.52 : 312,602.48 = 101,850.12 : x
  2. Step 2: Convert to fraction form
    208,526.52/312,602.48 = 101,850.12/x
  3. Step 3: Cross multiply
    208,526.52x = 312,602.48 × 101,850.12
  4. Step 4: Simplify right side
    208,526.52x = 31,838,600,100.30
  5. Step 5: Solve for x
    x = 31,838,600,100.30/208,526.52
  6. Step 6: Final answer
    x = 152,683.70

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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.