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Finding the Fourth Proportional to 309,501.42, 464,233.02 and 109,795.50

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Solution

The fourth proportional to 309,501.42, 464,233.02 and 109,795.50 is: 164,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,501.42 : 464,233.02 = 109,795.50 : x
  2. Step 2: Convert to fraction form
    309,501.42/464,233.02 = 109,795.50/x
  3. Step 3: Cross multiply
    309,501.42x = 464,233.02 × 109,795.50
  4. Step 4: Simplify right side
    309,501.42x = 50,970,696,547.41
  5. Step 5: Solve for x
    x = 50,970,696,547.41/309,501.42
  6. Step 6: Final answer
    x = 164,686.47

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