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Finding the Fourth Proportional to 194,703, 292,106.34 and 61,585.68

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Solution

The fourth proportional to 194,703, 292,106.34 and 61,585.68 is: 92,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,703 : 292,106.34 = 61,585.68 : x
  2. Step 2: Convert to fraction form
    194,703/292,106.34 = 61,585.68/x
  3. Step 3: Cross multiply
    194,703x = 292,106.34 × 61,585.68
  4. Step 4: Simplify right side
    194,703x = 17,989,567,581.21
  5. Step 5: Solve for x
    x = 17,989,567,581.21/194,703
  6. Step 6: Final answer
    x = 92,394.92

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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.