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Finding the Fourth Proportional to 153,328.14, 229,635 and 148,007.66

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Solution

The fourth proportional to 153,328.14, 229,635 and 148,007.66 is: 221,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,328.14 : 229,635 = 148,007.66 : x
  2. Step 2: Convert to fraction form
    153,328.14/229,635 = 148,007.66/x
  3. Step 3: Cross multiply
    153,328.14x = 229,635 × 148,007.66
  4. Step 4: Simplify right side
    153,328.14x = 33,987,737,855.93
  5. Step 5: Solve for x
    x = 33,987,737,855.93/153,328.14
  6. Step 6: Final answer
    x = 221,666.67

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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.