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Finding the Fourth Proportional to 151,300.50, 208,724.62 and 97,602.84

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Solution

The fourth proportional to 151,300.50, 208,724.62 and 97,602.84 is: 134,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,300.50 : 208,724.62 = 97,602.84 : x
  2. Step 2: Convert to fraction form
    151,300.50/208,724.62 = 97,602.84/x
  3. Step 3: Cross multiply
    151,300.50x = 208,724.62 × 97,602.84
  4. Step 4: Simplify right side
    151,300.50x = 20,372,115,689.92
  5. Step 5: Solve for x
    x = 20,372,115,689.92/151,300.50
  6. Step 6: Final answer
    x = 134,646.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.