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Finding the Fourth Proportional to 430,200.30, 645,319.65 and 164,088.30

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Solution

The fourth proportional to 430,200.30, 645,319.65 and 164,088.30 is: 246,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,200.30 : 645,319.65 = 164,088.30 : x
  2. Step 2: Convert to fraction form
    430,200.30/645,319.65 = 164,088.30/x
  3. Step 3: Cross multiply
    430,200.30x = 645,319.65 × 164,088.30
  4. Step 4: Simplify right side
    430,200.30x = 105,889,404,325.10
  5. Step 5: Solve for x
    x = 105,889,404,325.10/430,200.30
  6. Step 6: Final answer
    x = 246,139.77

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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.