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Finding the Fourth Proportional to 133,852.90, 200,566.08 and 70,670.47

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Solution

The fourth proportional to 133,852.90, 200,566.08 and 70,670.47 is: 105,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.90 : 200,566.08 = 70,670.47 : x
  2. Step 2: Convert to fraction form
    133,852.90/200,566.08 = 70,670.47/x
  3. Step 3: Cross multiply
    133,852.90x = 200,566.08 × 70,670.47
  4. Step 4: Simplify right side
    133,852.90x = 14,174,099,139.66
  5. Step 5: Solve for x
    x = 14,174,099,139.66/133,852.90
  6. Step 6: Final answer
    x = 105,893.10

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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.