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Finding the Fourth Proportional to 114,547.30, 171,864.15 and 55,435.30

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Solution

The fourth proportional to 114,547.30, 171,864.15 and 55,435.30 is: 83,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,547.30 : 171,864.15 = 55,435.30 : x
  2. Step 2: Convert to fraction form
    114,547.30/171,864.15 = 55,435.30/x
  3. Step 3: Cross multiply
    114,547.30x = 171,864.15 × 55,435.30
  4. Step 4: Simplify right side
    114,547.30x = 9,527,340,714.50
  5. Step 5: Solve for x
    x = 9,527,340,714.50/114,547.30
  6. Step 6: Final answer
    x = 83,173.86

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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.