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Finding the Fourth Proportional to 242,094.06, 363,162.15 and 64,602

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Solution

The fourth proportional to 242,094.06, 363,162.15 and 64,602 is: 96,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,094.06 : 363,162.15 = 64,602 : x
  2. Step 2: Convert to fraction form
    242,094.06/363,162.15 = 64,602/x
  3. Step 3: Cross multiply
    242,094.06x = 363,162.15 × 64,602
  4. Step 4: Simplify right side
    242,094.06x = 23,461,001,214.30
  5. Step 5: Solve for x
    x = 23,461,001,214.30/242,094.06
  6. Step 6: Final answer
    x = 96,908.62

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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.