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Finding the Fourth Proportional to 210,008.30, 314,575.05 and 175,016.30

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Solution

The fourth proportional to 210,008.30, 314,575.05 and 175,016.30 is: 262,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008.30 : 314,575.05 = 175,016.30 : x
  2. Step 2: Convert to fraction form
    210,008.30/314,575.05 = 175,016.30/x
  3. Step 3: Cross multiply
    210,008.30x = 314,575.05 × 175,016.30
  4. Step 4: Simplify right side
    210,008.30x = 55,055,761,323.32
  5. Step 5: Solve for x
    x = 55,055,761,323.32/210,008.30
  6. Step 6: Final answer
    x = 262,159.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.