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Finding the Fourth Proportional to 210,030.30, 315,045.45 and 177,225.30

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Solution

The fourth proportional to 210,030.30, 315,045.45 and 177,225.30 is: 265,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,030.30 : 315,045.45 = 177,225.30 : x
  2. Step 2: Convert to fraction form
    210,030.30/315,045.45 = 177,225.30/x
  3. Step 3: Cross multiply
    210,030.30x = 315,045.45 × 177,225.30
  4. Step 4: Simplify right side
    210,030.30x = 55,834,024,389.89
  5. Step 5: Solve for x
    x = 55,834,024,389.89/210,030.30
  6. Step 6: Final answer
    x = 265,837.95

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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.