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Finding the Fourth Proportional to 201,639.84, 302,459.76 and 61,398.47

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Solution

The fourth proportional to 201,639.84, 302,459.76 and 61,398.47 is: 92,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,639.84 : 302,459.76 = 61,398.47 : x
  2. Step 2: Convert to fraction form
    201,639.84/302,459.76 = 61,398.47/x
  3. Step 3: Cross multiply
    201,639.84x = 302,459.76 × 61,398.47
  4. Step 4: Simplify right side
    201,639.84x = 18,570,564,988.27
  5. Step 5: Solve for x
    x = 18,570,564,988.27/201,639.84
  6. Step 6: Final answer
    x = 92,097.70

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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.