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Finding the Fourth Proportional to 210,004.30, 314,569.05 and 175,012.30

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Solution

The fourth proportional to 210,004.30, 314,569.05 and 175,012.30 is: 262,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,004.30 : 314,569.05 = 175,012.30 : x
  2. Step 2: Convert to fraction form
    210,004.30/314,569.05 = 175,012.30/x
  3. Step 3: Cross multiply
    210,004.30x = 314,569.05 × 175,012.30
  4. Step 4: Simplify right side
    210,004.30x = 55,053,452,949.32
  5. Step 5: Solve for x
    x = 55,053,452,949.32/210,004.30
  6. Step 6: Final answer
    x = 262,153.93

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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.