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Finding the Fourth Proportional to 210,009.80, 314,577.30 and 175,017.80

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Solution

The fourth proportional to 210,009.80, 314,577.30 and 175,017.80 is: 262,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.80 : 314,577.30 = 175,017.80 : x
  2. Step 2: Convert to fraction form
    210,009.80/314,577.30 = 175,017.80/x
  3. Step 3: Cross multiply
    210,009.80x = 314,577.30 × 175,017.80
  4. Step 4: Simplify right side
    210,009.80x = 55,056,626,975.94
  5. Step 5: Solve for x
    x = 55,056,626,975.94/210,009.80
  6. Step 6: Final answer
    x = 262,162.18

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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.