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Finding the Fourth Proportional to 192,970.72, 266,302.36 and 112,396.16

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Solution

The fourth proportional to 192,970.72, 266,302.36 and 112,396.16 is: 155,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,970.72 : 266,302.36 = 112,396.16 : x
  2. Step 2: Convert to fraction form
    192,970.72/266,302.36 = 112,396.16/x
  3. Step 3: Cross multiply
    192,970.72x = 266,302.36 × 112,396.16
  4. Step 4: Simplify right side
    192,970.72x = 29,931,362,662.94
  5. Step 5: Solve for x
    x = 29,931,362,662.94/192,970.72
  6. Step 6: Final answer
    x = 155,108.31

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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.