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Finding the Fourth Proportional to 151,174.96, 208,551.65 and 97,477.22

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Solution

The fourth proportional to 151,174.96, 208,551.65 and 97,477.22 is: 134,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,174.96 : 208,551.65 = 97,477.22 : x
  2. Step 2: Convert to fraction form
    151,174.96/208,551.65 = 97,477.22/x
  3. Step 3: Cross multiply
    151,174.96x = 208,551.65 × 97,477.22
  4. Step 4: Simplify right side
    151,174.96x = 20,329,035,102.41
  5. Step 5: Solve for x
    x = 20,329,035,102.41/151,174.96
  6. Step 6: Final answer
    x = 134,473.56

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1.5x scale

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.