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Finding the Fourth Proportional to 174,415, 261,661.50 and 63,607

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Solution

The fourth proportional to 174,415, 261,661.50 and 63,607 is: 95,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,415 : 261,661.50 = 63,607 : x
  2. Step 2: Convert to fraction form
    174,415/261,661.50 = 63,607/x
  3. Step 3: Cross multiply
    174,415x = 261,661.50 × 63,607
  4. Step 4: Simplify right side
    174,415x = 16,643,503,030.50
  5. Step 5: Solve for x
    x = 16,643,503,030.50/174,415
  6. Step 6: Final answer
    x = 95,424.72

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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.