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Finding the Fourth Proportional to 134,509.36, 201,647.16 and 67,894

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Solution

The fourth proportional to 134,509.36, 201,647.16 and 67,894 is: 101,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,509.36 : 201,647.16 = 67,894 : x
  2. Step 2: Convert to fraction form
    134,509.36/201,647.16 = 67,894/x
  3. Step 3: Cross multiply
    134,509.36x = 201,647.16 × 67,894
  4. Step 4: Simplify right side
    134,509.36x = 13,690,632,281.04
  5. Step 5: Solve for x
    x = 13,690,632,281.04/134,509.36
  6. Step 6: Final answer
    x = 101,782.00

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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.