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Finding the Fourth Proportional to 402,189.69, 603,362.30 and 152,852.25

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Solution

The fourth proportional to 402,189.69, 603,362.30 and 152,852.25 is: 229,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,189.69 : 603,362.30 = 152,852.25 : x
  2. Step 2: Convert to fraction form
    402,189.69/603,362.30 = 152,852.25/x
  3. Step 3: Cross multiply
    402,189.69x = 603,362.30 × 152,852.25
  4. Step 4: Simplify right side
    402,189.69x = 92,225,284,355.91
  5. Step 5: Solve for x
    x = 92,225,284,355.91/402,189.69
  6. Step 6: Final answer
    x = 229,307.93

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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.