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Finding the Fourth Proportional to 102,195.34, 153,316.06 and 31,124.32

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Solution

The fourth proportional to 102,195.34, 153,316.06 and 31,124.32 is: 46,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,195.34 : 153,316.06 = 31,124.32 : x
  2. Step 2: Convert to fraction form
    102,195.34/153,316.06 = 31,124.32/x
  3. Step 3: Cross multiply
    102,195.34x = 153,316.06 × 31,124.32
  4. Step 4: Simplify right side
    102,195.34x = 4,771,858,112.58
  5. Step 5: Solve for x
    x = 4,771,858,112.58/102,195.34
  6. Step 6: Final answer
    x = 46,693.50

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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.