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Finding the Fourth Proportional to 233,022, 348,781.14 and 120,547.32

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Solution

The fourth proportional to 233,022, 348,781.14 and 120,547.32 is: 180,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,022 : 348,781.14 = 120,547.32 : x
  2. Step 2: Convert to fraction form
    233,022/348,781.14 = 120,547.32/x
  3. Step 3: Cross multiply
    233,022x = 348,781.14 × 120,547.32
  4. Step 4: Simplify right side
    233,022x = 42,044,631,693.54
  5. Step 5: Solve for x
    x = 42,044,631,693.54/233,022
  6. Step 6: Final answer
    x = 180,432.03

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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.