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Finding the Fourth Proportional to 230,931, 346,409.64 and 64,731.96

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Solution

The fourth proportional to 230,931, 346,409.64 and 64,731.96 is: 97,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,931 : 346,409.64 = 64,731.96 : x
  2. Step 2: Convert to fraction form
    230,931/346,409.64 = 64,731.96/x
  3. Step 3: Cross multiply
    230,931x = 346,409.64 × 64,731.96
  4. Step 4: Simplify right side
    230,931x = 22,423,774,960.09
  5. Step 5: Solve for x
    x = 22,423,774,960.09/230,931
  6. Step 6: Final answer
    x = 97,101.62

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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.