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Finding the Fourth Proportional to 202,702.90, 304,103.91 and 142,848.13

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Solution

The fourth proportional to 202,702.90, 304,103.91 and 142,848.13 is: 214,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,702.90 : 304,103.91 = 142,848.13 : x
  2. Step 2: Convert to fraction form
    202,702.90/304,103.91 = 142,848.13/x
  3. Step 3: Cross multiply
    202,702.90x = 304,103.91 × 142,848.13
  4. Step 4: Simplify right side
    202,702.90x = 43,440,674,869.19
  5. Step 5: Solve for x
    x = 43,440,674,869.19/202,702.90
  6. Step 6: Final answer
    x = 214,307.12

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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.