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Finding the Fourth Proportional to 602,175.54, 903,263.70 and 152,930.10

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Solution

The fourth proportional to 602,175.54, 903,263.70 and 152,930.10 is: 229,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,175.54 : 903,263.70 = 152,930.10 : x
  2. Step 2: Convert to fraction form
    602,175.54/903,263.70 = 152,930.10/x
  3. Step 3: Cross multiply
    602,175.54x = 903,263.70 × 152,930.10
  4. Step 4: Simplify right side
    602,175.54x = 138,136,207,967.37
  5. Step 5: Solve for x
    x = 138,136,207,967.37/602,175.54
  6. Step 6: Final answer
    x = 229,395.25

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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.