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Finding the Fourth Proportional to 178,098.94, 245,777.81 and 97,533.90

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Solution

The fourth proportional to 178,098.94, 245,777.81 and 97,533.90 is: 134,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,098.94 : 245,777.81 = 97,533.90 : x
  2. Step 2: Convert to fraction form
    178,098.94/245,777.81 = 97,533.90/x
  3. Step 3: Cross multiply
    178,098.94x = 245,777.81 × 97,533.90
  4. Step 4: Simplify right side
    178,098.94x = 23,971,667,113.87
  5. Step 5: Solve for x
    x = 23,971,667,113.87/178,098.94
  6. Step 6: Final answer
    x = 134,597.48

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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.