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Finding the Fourth Proportional to 153,153.53, 229,580.31 and 85,718.50

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Solution

The fourth proportional to 153,153.53, 229,580.31 and 85,718.50 is: 128,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,153.53 : 229,580.31 = 85,718.50 : x
  2. Step 2: Convert to fraction form
    153,153.53/229,580.31 = 85,718.50/x
  3. Step 3: Cross multiply
    153,153.53x = 229,580.31 × 85,718.50
  4. Step 4: Simplify right side
    153,153.53x = 19,679,279,802.74
  5. Step 5: Solve for x
    x = 19,679,279,802.74/153,153.53
  6. Step 6: Final answer
    x = 128,493.80

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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.