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Finding the Fourth Proportional to 84,219.64, 116,220.88 and 46,493.08

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Solution

The fourth proportional to 84,219.64, 116,220.88 and 46,493.08 is: 64,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219.64 : 116,220.88 = 46,493.08 : x
  2. Step 2: Convert to fraction form
    84,219.64/116,220.88 = 46,493.08/x
  3. Step 3: Cross multiply
    84,219.64x = 116,220.88 × 46,493.08
  4. Step 4: Simplify right side
    84,219.64x = 5,403,466,671.51
  5. Step 5: Solve for x
    x = 5,403,466,671.51/84,219.64
  6. Step 6: Final answer
    x = 64,159.22

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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.