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Finding the Fourth Proportional to 376,353.86, 564,547.86 and 106,502.22

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Solution

The fourth proportional to 376,353.86, 564,547.86 and 106,502.22 is: 159,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,353.86 : 564,547.86 = 106,502.22 : x
  2. Step 2: Convert to fraction form
    376,353.86/564,547.86 = 106,502.22/x
  3. Step 3: Cross multiply
    376,353.86x = 564,547.86 × 106,502.22
  4. Step 4: Simplify right side
    376,353.86x = 60,125,600,386.25
  5. Step 5: Solve for x
    x = 60,125,600,386.25/376,353.86
  6. Step 6: Final answer
    x = 159,758.16

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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.