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Finding the Fourth Proportional to 164,531.40, 229,877.40 and 164,531.40

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Solution

The fourth proportional to 164,531.40, 229,877.40 and 164,531.40 is: 229,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,531.40 : 229,877.40 = 164,531.40 : x
  2. Step 2: Convert to fraction form
    164,531.40/229,877.40 = 164,531.40/x
  3. Step 3: Cross multiply
    164,531.40x = 229,877.40 × 164,531.40
  4. Step 4: Simplify right side
    164,531.40x = 37,822,050,450.36
  5. Step 5: Solve for x
    x = 37,822,050,450.36/164,531.40
  6. Step 6: Final answer
    x = 229,877.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.