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Finding the Fourth Proportional to 192,307.64, 265,386.71 and 106,266.26

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Solution

The fourth proportional to 192,307.64, 265,386.71 and 106,266.26 is: 146,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,307.64 : 265,386.71 = 106,266.26 : x
  2. Step 2: Convert to fraction form
    192,307.64/265,386.71 = 106,266.26/x
  3. Step 3: Cross multiply
    192,307.64x = 265,386.71 × 106,266.26
  4. Step 4: Simplify right side
    192,307.64x = 28,201,654,054.54
  5. Step 5: Solve for x
    x = 28,201,654,054.54/192,307.64
  6. Step 6: Final answer
    x = 146,648.64

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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.