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Finding the Fourth Proportional to 212,303.16, 292,972.32 and 116,809.92

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Solution

The fourth proportional to 212,303.16, 292,972.32 and 116,809.92 is: 161,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,303.16 : 292,972.32 = 116,809.92 : x
  2. Step 2: Convert to fraction form
    212,303.16/292,972.32 = 116,809.92/x
  3. Step 3: Cross multiply
    212,303.16x = 292,972.32 × 116,809.92
  4. Step 4: Simplify right side
    212,303.16x = 34,222,073,261.41
  5. Step 5: Solve for x
    x = 34,222,073,261.41/212,303.16
  6. Step 6: Final answer
    x = 161,194.37

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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.