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Finding the Fourth Proportional to 144,963.66, 200,058.12 and 81,296.40

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Solution

The fourth proportional to 144,963.66, 200,058.12 and 81,296.40 is: 112,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,963.66 : 200,058.12 = 81,296.40 : x
  2. Step 2: Convert to fraction form
    144,963.66/200,058.12 = 81,296.40/x
  3. Step 3: Cross multiply
    144,963.66x = 200,058.12 × 81,296.40
  4. Step 4: Simplify right side
    144,963.66x = 16,264,004,946.77
  5. Step 5: Solve for x
    x = 16,264,004,946.77/144,963.66
  6. Step 6: Final answer
    x = 112,193.67

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1.5x scale

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.