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Finding the Fourth Proportional to 118,735.71, 178,066.32 and 34,501.70

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Solution

The fourth proportional to 118,735.71, 178,066.32 and 34,501.70 is: 51,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,735.71 : 178,066.32 = 34,501.70 : x
  2. Step 2: Convert to fraction form
    118,735.71/178,066.32 = 34,501.70/x
  3. Step 3: Cross multiply
    118,735.71x = 178,066.32 × 34,501.70
  4. Step 4: Simplify right side
    118,735.71x = 6,143,590,135.07
  5. Step 5: Solve for x
    x = 6,143,590,135.07/118,735.71
  6. Step 6: Final answer
    x = 51,741.72

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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.