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Finding the Fourth Proportional to 193,912.89, 291,141.71 and 99,210.98

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Solution

The fourth proportional to 193,912.89, 291,141.71 and 99,210.98 is: 148,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,912.89 : 291,141.71 = 99,210.98 : x
  2. Step 2: Convert to fraction form
    193,912.89/291,141.71 = 99,210.98/x
  3. Step 3: Cross multiply
    193,912.89x = 291,141.71 × 99,210.98
  4. Step 4: Simplify right side
    193,912.89x = 28,884,452,416.21
  5. Step 5: Solve for x
    x = 28,884,452,416.21/193,912.89
  6. Step 6: Final answer
    x = 148,955.81

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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.