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Finding the Fourth Proportional to 190,894.70, 286,342.05 and 97,388.30

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Solution

The fourth proportional to 190,894.70, 286,342.05 and 97,388.30 is: 146,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,894.70 : 286,342.05 = 97,388.30 : x
  2. Step 2: Convert to fraction form
    190,894.70/286,342.05 = 97,388.30/x
  3. Step 3: Cross multiply
    190,894.70x = 286,342.05 × 97,388.30
  4. Step 4: Simplify right side
    190,894.70x = 27,886,365,468.02
  5. Step 5: Solve for x
    x = 27,886,365,468.02/190,894.70
  6. Step 6: Final answer
    x = 146,082.45

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1.5x scale

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.