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Finding the Fourth Proportional to 299,159.04, 412,840.80 and 163,196.08

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Solution

The fourth proportional to 299,159.04, 412,840.80 and 163,196.08 is: 225,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,159.04 : 412,840.80 = 163,196.08 : x
  2. Step 2: Convert to fraction form
    299,159.04/412,840.80 = 163,196.08/x
  3. Step 3: Cross multiply
    299,159.04x = 412,840.80 × 163,196.08
  4. Step 4: Simplify right side
    299,159.04x = 67,374,000,224.06
  5. Step 5: Solve for x
    x = 67,374,000,224.06/299,159.04
  6. Step 6: Final answer
    x = 225,211.31

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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.