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Finding the Fourth Proportional to 201,802.47, 302,632.80 and 59,609.80

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Solution

The fourth proportional to 201,802.47, 302,632.80 and 59,609.80 is: 89,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802.47 : 302,632.80 = 59,609.80 : x
  2. Step 2: Convert to fraction form
    201,802.47/302,632.80 = 59,609.80/x
  3. Step 3: Cross multiply
    201,802.47x = 302,632.80 × 59,609.80
  4. Step 4: Simplify right side
    201,802.47x = 18,039,880,681.44
  5. Step 5: Solve for x
    x = 18,039,880,681.44/201,802.47
  6. Step 6: Final answer
    x = 89,393.76

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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.