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Finding the Fourth Proportional to 119,071, 178,632.62 and 34,838.29

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Solution

The fourth proportional to 119,071, 178,632.62 and 34,838.29 is: 52,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,071 : 178,632.62 = 34,838.29 : x
  2. Step 2: Convert to fraction form
    119,071/178,632.62 = 34,838.29/x
  3. Step 3: Cross multiply
    119,071x = 178,632.62 × 34,838.29
  4. Step 4: Simplify right side
    119,071x = 6,223,255,019.02
  5. Step 5: Solve for x
    x = 6,223,255,019.02/119,071
  6. Step 6: Final answer
    x = 52,265.08

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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.