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Finding the Fourth Proportional to 231,064.60, 346,596.90 and 64,852.60

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Solution

The fourth proportional to 231,064.60, 346,596.90 and 64,852.60 is: 97,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,064.60 : 346,596.90 = 64,852.60 : x
  2. Step 2: Convert to fraction form
    231,064.60/346,596.90 = 64,852.60/x
  3. Step 3: Cross multiply
    231,064.60x = 346,596.90 × 64,852.60
  4. Step 4: Simplify right side
    231,064.60x = 22,477,710,116.94
  5. Step 5: Solve for x
    x = 22,477,710,116.94/231,064.60
  6. Step 6: Final answer
    x = 97,278.90

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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.