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Finding the Fourth Proportional to 174,064, 240,209.76 and 94,576

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Solution

The fourth proportional to 174,064, 240,209.76 and 94,576 is: 130,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,064 : 240,209.76 = 94,576 : x
  2. Step 2: Convert to fraction form
    174,064/240,209.76 = 94,576/x
  3. Step 3: Cross multiply
    174,064x = 240,209.76 × 94,576
  4. Step 4: Simplify right side
    174,064x = 22,718,078,261.76
  5. Step 5: Solve for x
    x = 22,718,078,261.76/174,064
  6. Step 6: Final answer
    x = 130,515.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.