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Finding the Fourth Proportional to 153,006.37, 229,509.32 and 40,686.64

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Solution

The fourth proportional to 153,006.37, 229,509.32 and 40,686.64 is: 61,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,006.37 : 229,509.32 = 40,686.64 : x
  2. Step 2: Convert to fraction form
    153,006.37/229,509.32 = 40,686.64/x
  3. Step 3: Cross multiply
    153,006.37x = 229,509.32 × 40,686.64
  4. Step 4: Simplify right side
    153,006.37x = 9,337,962,302.28
  5. Step 5: Solve for x
    x = 9,337,962,302.28/153,006.37
  6. Step 6: Final answer
    x = 61,029.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.