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Finding the Fourth Proportional to 134,415, 201,622.50 and 46,863

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Solution

The fourth proportional to 134,415, 201,622.50 and 46,863 is: 70,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,415 : 201,622.50 = 46,863 : x
  2. Step 2: Convert to fraction form
    134,415/201,622.50 = 46,863/x
  3. Step 3: Cross multiply
    134,415x = 201,622.50 × 46,863
  4. Step 4: Simplify right side
    134,415x = 9,448,635,217.50
  5. Step 5: Solve for x
    x = 9,448,635,217.50/134,415
  6. Step 6: Final answer
    x = 70,294.50

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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.