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Finding the Fourth Proportional to 153,277.30, 229,821.09 and 64,485.10

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Solution

The fourth proportional to 153,277.30, 229,821.09 and 64,485.10 is: 96,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,277.30 : 229,821.09 = 64,485.10 : x
  2. Step 2: Convert to fraction form
    153,277.30/229,821.09 = 64,485.10/x
  3. Step 3: Cross multiply
    153,277.30x = 229,821.09 × 64,485.10
  4. Step 4: Simplify right side
    153,277.30x = 14,820,035,970.76
  5. Step 5: Solve for x
    x = 14,820,035,970.76/153,277.30
  6. Step 6: Final answer
    x = 96,687.74

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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.