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Finding the Fourth Proportional to 137,698.98, 190,009.16 and 77,257.06

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Solution

The fourth proportional to 137,698.98, 190,009.16 and 77,257.06 is: 106,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,698.98 : 190,009.16 = 77,257.06 : x
  2. Step 2: Convert to fraction form
    137,698.98/190,009.16 = 77,257.06/x
  3. Step 3: Cross multiply
    137,698.98x = 190,009.16 × 77,257.06
  4. Step 4: Simplify right side
    137,698.98x = 14,679,549,074.67
  5. Step 5: Solve for x
    x = 14,679,549,074.67/137,698.98
  6. Step 6: Final answer
    x = 106,606.08

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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.