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Finding the Fourth Proportional to 148,991.82, 223,482.72 and 64,752

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Solution

The fourth proportional to 148,991.82, 223,482.72 and 64,752 is: 97,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,991.82 : 223,482.72 = 64,752 : x
  2. Step 2: Convert to fraction form
    148,991.82/223,482.72 = 64,752/x
  3. Step 3: Cross multiply
    148,991.82x = 223,482.72 × 64,752
  4. Step 4: Simplify right side
    148,991.82x = 14,470,953,085.44
  5. Step 5: Solve for x
    x = 14,470,953,085.44/148,991.82
  6. Step 6: Final answer
    x = 97,125.82

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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.