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Finding the Fourth Proportional to 145,611.84, 201,006.33 and 97,892.86

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Solution

The fourth proportional to 145,611.84, 201,006.33 and 97,892.86 is: 135,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611.84 : 201,006.33 = 97,892.86 : x
  2. Step 2: Convert to fraction form
    145,611.84/201,006.33 = 97,892.86/x
  3. Step 3: Cross multiply
    145,611.84x = 201,006.33 × 97,892.86
  4. Step 4: Simplify right side
    145,611.84x = 19,677,084,521.80
  5. Step 5: Solve for x
    x = 19,677,084,521.80/145,611.84
  6. Step 6: Final answer
    x = 135,133.83

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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.