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Finding the Fourth Proportional to 242,987.66, 364,484.74 and 85,220.72

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Solution

The fourth proportional to 242,987.66, 364,484.74 and 85,220.72 is: 127,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,987.66 : 364,484.74 = 85,220.72 : x
  2. Step 2: Convert to fraction form
    242,987.66/364,484.74 = 85,220.72/x
  3. Step 3: Cross multiply
    242,987.66x = 364,484.74 × 85,220.72
  4. Step 4: Simplify right side
    242,987.66x = 31,061,651,971.81
  5. Step 5: Solve for x
    x = 31,061,651,971.81/242,987.66
  6. Step 6: Final answer
    x = 127,832.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.