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Finding the Fourth Proportional to 152,673.80, 229,010.70 and 105,434.60

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Solution

The fourth proportional to 152,673.80, 229,010.70 and 105,434.60 is: 158,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,673.80 : 229,010.70 = 105,434.60 : x
  2. Step 2: Convert to fraction form
    152,673.80/229,010.70 = 105,434.60/x
  3. Step 3: Cross multiply
    152,673.80x = 229,010.70 × 105,434.60
  4. Step 4: Simplify right side
    152,673.80x = 24,145,651,550.22
  5. Step 5: Solve for x
    x = 24,145,651,550.22/152,673.80
  6. Step 6: Final answer
    x = 158,151.90

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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.