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Finding the Fourth Proportional to 227,987.15, 314,459.06 and 160,019.28

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Solution

The fourth proportional to 227,987.15, 314,459.06 and 160,019.28 is: 220,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,987.15 : 314,459.06 = 160,019.28 : x
  2. Step 2: Convert to fraction form
    227,987.15/314,459.06 = 160,019.28/x
  3. Step 3: Cross multiply
    227,987.15x = 314,459.06 × 160,019.28
  4. Step 4: Simplify right side
    227,987.15x = 50,319,511,570.58
  5. Step 5: Solve for x
    x = 50,319,511,570.58/227,987.15
  6. Step 6: Final answer
    x = 220,712.06

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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.