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Finding the Fourth Proportional to 421,573.50, 632,313.68 and 106,030.53

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Solution

The fourth proportional to 421,573.50, 632,313.68 and 106,030.53 is: 159,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,573.50 : 632,313.68 = 106,030.53 : x
  2. Step 2: Convert to fraction form
    421,573.50/632,313.68 = 106,030.53/x
  3. Step 3: Cross multiply
    421,573.50x = 632,313.68 × 106,030.53
  4. Step 4: Simplify right side
    421,573.50x = 67,044,554,086.50
  5. Step 5: Solve for x
    x = 67,044,554,086.50/421,573.50
  6. Step 6: Final answer
    x = 159,034.08

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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.