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Finding the Fourth Proportional to 201,998.29, 302,904.27 and 59,792.70

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Solution

The fourth proportional to 201,998.29, 302,904.27 and 59,792.70 is: 89,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,998.29 : 302,904.27 = 59,792.70 : x
  2. Step 2: Convert to fraction form
    201,998.29/302,904.27 = 59,792.70/x
  3. Step 3: Cross multiply
    201,998.29x = 302,904.27 × 59,792.70
  4. Step 4: Simplify right side
    201,998.29x = 18,111,464,144.83
  5. Step 5: Solve for x
    x = 18,111,464,144.83/201,998.29
  6. Step 6: Final answer
    x = 89,661.47

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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.