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Finding the Fourth Proportional to 230,769, 346,153.50 and 64,557

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Solution

The fourth proportional to 230,769, 346,153.50 and 64,557 is: 96,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769 : 346,153.50 = 64,557 : x
  2. Step 2: Convert to fraction form
    230,769/346,153.50 = 64,557/x
  3. Step 3: Cross multiply
    230,769x = 346,153.50 × 64,557
  4. Step 4: Simplify right side
    230,769x = 22,346,631,499.50
  5. Step 5: Solve for x
    x = 22,346,631,499.50/230,769
  6. Step 6: Final answer
    x = 96,835.50

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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.