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Finding the Fourth Proportional to 153,497, 230,376.72 and 60,068.36

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Solution

The fourth proportional to 153,497, 230,376.72 and 60,068.36 is: 90,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,497 : 230,376.72 = 60,068.36 : x
  2. Step 2: Convert to fraction form
    153,497/230,376.72 = 60,068.36/x
  3. Step 3: Cross multiply
    153,497x = 230,376.72 × 60,068.36
  4. Step 4: Simplify right side
    153,497x = 13,838,351,752.58
  5. Step 5: Solve for x
    x = 13,838,351,752.58/153,497
  6. Step 6: Final answer
    x = 90,153.89

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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.