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Finding the Fourth Proportional to 133,602.46, 200,096.15 and 77,302.93

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Solution

The fourth proportional to 133,602.46, 200,096.15 and 77,302.93 is: 115,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602.46 : 200,096.15 = 77,302.93 : x
  2. Step 2: Convert to fraction form
    133,602.46/200,096.15 = 77,302.93/x
  3. Step 3: Cross multiply
    133,602.46x = 200,096.15 × 77,302.93
  4. Step 4: Simplify right side
    133,602.46x = 15,468,018,945.33
  5. Step 5: Solve for x
    x = 15,468,018,945.33/133,602.46
  6. Step 6: Final answer
    x = 115,776.45

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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.