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Finding the Fourth Proportional to 153,156.92, 229,735.46 and 58,365

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Solution

The fourth proportional to 153,156.92, 229,735.46 and 58,365 is: 87,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,156.92 : 229,735.46 = 58,365 : x
  2. Step 2: Convert to fraction form
    153,156.92/229,735.46 = 58,365/x
  3. Step 3: Cross multiply
    153,156.92x = 229,735.46 × 58,365
  4. Step 4: Simplify right side
    153,156.92x = 13,408,510,122.90
  5. Step 5: Solve for x
    x = 13,408,510,122.90/153,156.92
  6. Step 6: Final answer
    x = 87,547.53

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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.