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Finding the Fourth Proportional to 216,880.72, 299,292.29 and 120,075.29

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Solution

The fourth proportional to 216,880.72, 299,292.29 and 120,075.29 is: 165,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880.72 : 299,292.29 = 120,075.29 : x
  2. Step 2: Convert to fraction form
    216,880.72/299,292.29 = 120,075.29/x
  3. Step 3: Cross multiply
    216,880.72x = 299,292.29 × 120,075.29
  4. Step 4: Simplify right side
    216,880.72x = 35,937,608,516.51
  5. Step 5: Solve for x
    x = 35,937,608,516.51/216,880.72
  6. Step 6: Final answer
    x = 165,702.18

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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.