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Finding the Fourth Proportional to 115,328.64, 159,156.30 and 64,341

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Solution

The fourth proportional to 115,328.64, 159,156.30 and 64,341 is: 88,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,328.64 : 159,156.30 = 64,341 : x
  2. Step 2: Convert to fraction form
    115,328.64/159,156.30 = 64,341/x
  3. Step 3: Cross multiply
    115,328.64x = 159,156.30 × 64,341
  4. Step 4: Simplify right side
    115,328.64x = 10,240,275,498.30
  5. Step 5: Solve for x
    x = 10,240,275,498.30/115,328.64
  6. Step 6: Final answer
    x = 88,792.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.