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Finding the Fourth Proportional to 194,458.68, 291,688.11 and 46,714.68

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Solution

The fourth proportional to 194,458.68, 291,688.11 and 46,714.68 is: 70,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,458.68 : 291,688.11 = 46,714.68 : x
  2. Step 2: Convert to fraction form
    194,458.68/291,688.11 = 46,714.68/x
  3. Step 3: Cross multiply
    194,458.68x = 291,688.11 × 46,714.68
  4. Step 4: Simplify right side
    194,458.68x = 13,626,116,718.45
  5. Step 5: Solve for x
    x = 13,626,116,718.45/194,458.68
  6. Step 6: Final answer
    x = 70,072.04

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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.