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Finding the Fourth Proportional to 165,835, 228,858.48 and 94,227.16

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Solution

The fourth proportional to 165,835, 228,858.48 and 94,227.16 is: 130,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,835 : 228,858.48 = 94,227.16 : x
  2. Step 2: Convert to fraction form
    165,835/228,858.48 = 94,227.16/x
  3. Step 3: Cross multiply
    165,835x = 228,858.48 × 94,227.16
  4. Step 4: Simplify right side
    165,835x = 21,564,684,612.32
  5. Step 5: Solve for x
    x = 21,564,684,612.32/165,835
  6. Step 6: Final answer
    x = 130,036.99

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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.