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Finding the Fourth Proportional to 375,784.89, 563,770.75 and 109,547.74

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Solution

The fourth proportional to 375,784.89, 563,770.75 and 109,547.74 is: 164,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,784.89 : 563,770.75 = 109,547.74 : x
  2. Step 2: Convert to fraction form
    375,784.89/563,770.75 = 109,547.74/x
  3. Step 3: Cross multiply
    375,784.89x = 563,770.75 × 109,547.74
  4. Step 4: Simplify right side
    375,784.89x = 61,759,812,176.85
  5. Step 5: Solve for x
    x = 61,759,812,176.85/375,784.89
  6. Step 6: Final answer
    x = 164,348.85

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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.