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Finding the Fourth Proportional to 257,353.04, 386,078.13 and 97,476.86

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Solution

The fourth proportional to 257,353.04, 386,078.13 and 97,476.86 is: 146,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,353.04 : 386,078.13 = 97,476.86 : x
  2. Step 2: Convert to fraction form
    257,353.04/386,078.13 = 97,476.86/x
  3. Step 3: Cross multiply
    257,353.04x = 386,078.13 × 97,476.86
  4. Step 4: Simplify right side
    257,353.04x = 37,633,683,827.07
  5. Step 5: Solve for x
    x = 37,633,683,827.07/257,353.04
  6. Step 6: Final answer
    x = 146,233.69

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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.