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Finding the Fourth Proportional to 153,838.32, 212,296.86 and 84,927.78

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Solution

The fourth proportional to 153,838.32, 212,296.86 and 84,927.78 is: 117,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,838.32 : 212,296.86 = 84,927.78 : x
  2. Step 2: Convert to fraction form
    153,838.32/212,296.86 = 84,927.78/x
  3. Step 3: Cross multiply
    153,838.32x = 212,296.86 × 84,927.78
  4. Step 4: Simplify right side
    153,838.32x = 18,029,901,020.77
  5. Step 5: Solve for x
    x = 18,029,901,020.77/153,838.32
  6. Step 6: Final answer
    x = 117,200.32

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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.