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Finding the Fourth Proportional to 164,042.45, 229,814.95 and 164,042.45

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Solution

The fourth proportional to 164,042.45, 229,814.95 and 164,042.45 is: 229,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,042.45 : 229,814.95 = 164,042.45 : x
  2. Step 2: Convert to fraction form
    164,042.45/229,814.95 = 164,042.45/x
  3. Step 3: Cross multiply
    164,042.45x = 229,814.95 × 164,042.45
  4. Step 4: Simplify right side
    164,042.45x = 37,699,407,444.63
  5. Step 5: Solve for x
    x = 37,699,407,444.63/164,042.45
  6. Step 6: Final answer
    x = 229,814.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.