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Finding the Fourth Proportional to 199,495, 275,303.10 and 110,071

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Solution

The fourth proportional to 199,495, 275,303.10 and 110,071 is: 151,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,495 : 275,303.10 = 110,071 : x
  2. Step 2: Convert to fraction form
    199,495/275,303.10 = 110,071/x
  3. Step 3: Cross multiply
    199,495x = 275,303.10 × 110,071
  4. Step 4: Simplify right side
    199,495x = 30,302,887,520.10
  5. Step 5: Solve for x
    x = 30,302,887,520.10/199,495
  6. Step 6: Final answer
    x = 151,897.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.