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Finding the Fourth Proportional to 194,473.50, 291,710.25 and 46,729.50

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Solution

The fourth proportional to 194,473.50, 291,710.25 and 46,729.50 is: 70,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473.50 : 291,710.25 = 46,729.50 : x
  2. Step 2: Convert to fraction form
    194,473.50/291,710.25 = 46,729.50/x
  3. Step 3: Cross multiply
    194,473.50x = 291,710.25 × 46,729.50
  4. Step 4: Simplify right side
    194,473.50x = 13,631,474,127.38
  5. Step 5: Solve for x
    x = 13,631,474,127.38/194,473.50
  6. Step 6: Final answer
    x = 70,094.25

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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.