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Finding the Fourth Proportional to 430,123.56, 645,143.65 and 130,606.77

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Solution

The fourth proportional to 430,123.56, 645,143.65 and 130,606.77 is: 195,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,123.56 : 645,143.65 = 130,606.77 : x
  2. Step 2: Convert to fraction form
    430,123.56/645,143.65 = 130,606.77/x
  3. Step 3: Cross multiply
    430,123.56x = 645,143.65 × 130,606.77
  4. Step 4: Simplify right side
    430,123.56x = 84,260,130,405.28
  5. Step 5: Solve for x
    x = 84,260,130,405.28/430,123.56
  6. Step 6: Final answer
    x = 195,897.50

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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.