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Finding the Fourth Proportional to 230,979, 346,468.50 and 55,875

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Solution

The fourth proportional to 230,979, 346,468.50 and 55,875 is: 83,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,979 : 346,468.50 = 55,875 : x
  2. Step 2: Convert to fraction form
    230,979/346,468.50 = 55,875/x
  3. Step 3: Cross multiply
    230,979x = 346,468.50 × 55,875
  4. Step 4: Simplify right side
    230,979x = 19,358,927,437.50
  5. Step 5: Solve for x
    x = 19,358,927,437.50/230,979
  6. Step 6: Final answer
    x = 83,812.50

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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.