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Finding the Fourth Proportional to 154,802.25, 232,214.36 and 61,308

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Solution

The fourth proportional to 154,802.25, 232,214.36 and 61,308 is: 91,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,802.25 : 232,214.36 = 61,308 : x
  2. Step 2: Convert to fraction form
    154,802.25/232,214.36 = 61,308/x
  3. Step 3: Cross multiply
    154,802.25x = 232,214.36 × 61,308
  4. Step 4: Simplify right side
    154,802.25x = 14,236,597,676.34
  5. Step 5: Solve for x
    x = 14,236,597,676.34/154,802.25
  6. Step 6: Final answer
    x = 91,966.35

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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.