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Finding the Fourth Proportional to 153,503.21, 229,175.49 and 117,290.14

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Solution

The fourth proportional to 153,503.21, 229,175.49 and 117,290.14 is: 175,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,503.21 : 229,175.49 = 117,290.14 : x
  2. Step 2: Convert to fraction form
    153,503.21/229,175.49 = 117,290.14/x
  3. Step 3: Cross multiply
    153,503.21x = 229,175.49 × 117,290.14
  4. Step 4: Simplify right side
    153,503.21x = 26,880,023,574.34
  5. Step 5: Solve for x
    x = 26,880,023,574.34/153,503.21
  6. Step 6: Final answer
    x = 175,110.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.