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Finding the Fourth Proportional to 152,458.67, 228,897.48 and 77,629.10

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Solution

The fourth proportional to 152,458.67, 228,897.48 and 77,629.10 is: 116,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,458.67 : 228,897.48 = 77,629.10 : x
  2. Step 2: Convert to fraction form
    152,458.67/228,897.48 = 77,629.10/x
  3. Step 3: Cross multiply
    152,458.67x = 228,897.48 × 77,629.10
  4. Step 4: Simplify right side
    152,458.67x = 17,769,104,220.18
  5. Step 5: Solve for x
    x = 17,769,104,220.18/152,458.67
  6. Step 6: Final answer
    x = 116,550.31

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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.