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Finding the Fourth Proportional to 201,643.56, 302,428.62 and 59,459.40

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Solution

The fourth proportional to 201,643.56, 302,428.62 and 59,459.40 is: 89,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.56 : 302,428.62 = 59,459.40 : x
  2. Step 2: Convert to fraction form
    201,643.56/302,428.62 = 59,459.40/x
  3. Step 3: Cross multiply
    201,643.56x = 302,428.62 × 59,459.40
  4. Step 4: Simplify right side
    201,643.56x = 17,982,224,288.03
  5. Step 5: Solve for x
    x = 17,982,224,288.03/201,643.56
  6. Step 6: Final answer
    x = 89,178.27

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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.