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Finding the Fourth Proportional to 211,792.90, 292,275 and 114,996.90

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Solution

The fourth proportional to 211,792.90, 292,275 and 114,996.90 is: 158,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,792.90 : 292,275 = 114,996.90 : x
  2. Step 2: Convert to fraction form
    211,792.90/292,275 = 114,996.90/x
  3. Step 3: Cross multiply
    211,792.90x = 292,275 × 114,996.90
  4. Step 4: Simplify right side
    211,792.90x = 33,610,718,947.50
  5. Step 5: Solve for x
    x = 33,610,718,947.50/211,792.90
  6. Step 6: Final answer
    x = 158,696.16

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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.