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Finding the Fourth Proportional to 153,703, 212,285.10 and 103,314.52

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Solution

The fourth proportional to 153,703, 212,285.10 and 103,314.52 is: 142,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,703 : 212,285.10 = 103,314.52 : x
  2. Step 2: Convert to fraction form
    153,703/212,285.10 = 103,314.52/x
  3. Step 3: Cross multiply
    153,703x = 212,285.10 × 103,314.52
  4. Step 4: Simplify right side
    153,703x = 21,932,133,209.65
  5. Step 5: Solve for x
    x = 21,932,133,209.65/153,703
  6. Step 6: Final answer
    x = 142,691.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.