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Finding the Fourth Proportional to 97,424.30, 146,136.45 and 70,856.30

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Solution

The fourth proportional to 97,424.30, 146,136.45 and 70,856.30 is: 106,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,424.30 : 146,136.45 = 70,856.30 : x
  2. Step 2: Convert to fraction form
    97,424.30/146,136.45 = 70,856.30/x
  3. Step 3: Cross multiply
    97,424.30x = 146,136.45 × 70,856.30
  4. Step 4: Simplify right side
    97,424.30x = 10,354,688,142.14
  5. Step 5: Solve for x
    x = 10,354,688,142.14/97,424.30
  6. Step 6: Final answer
    x = 106,284.45

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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.