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Finding the Fourth Proportional to 138,897.10, 208,345.65 and 45,412.30

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Solution

The fourth proportional to 138,897.10, 208,345.65 and 45,412.30 is: 68,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,897.10 : 208,345.65 = 45,412.30 : x
  2. Step 2: Convert to fraction form
    138,897.10/208,345.65 = 45,412.30/x
  3. Step 3: Cross multiply
    138,897.10x = 208,345.65 × 45,412.30
  4. Step 4: Simplify right side
    138,897.10x = 9,461,455,161.50
  5. Step 5: Solve for x
    x = 9,461,455,161.50/138,897.10
  6. Step 6: Final answer
    x = 68,118.45

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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.