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Finding the Fourth Proportional to 153,648, 212,092.56 and 103,376.16

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Solution

The fourth proportional to 153,648, 212,092.56 and 103,376.16 is: 142,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,648 : 212,092.56 = 103,376.16 : x
  2. Step 2: Convert to fraction form
    153,648/212,092.56 = 103,376.16/x
  3. Step 3: Cross multiply
    153,648x = 212,092.56 × 103,376.16
  4. Step 4: Simplify right side
    153,648x = 21,925,314,417.37
  5. Step 5: Solve for x
    x = 21,925,314,417.37/153,648
  6. Step 6: Final answer
    x = 142,698.34

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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.