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Finding the Fourth Proportional to 102,429.60, 153,644.40 and 97,360.80

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Solution

The fourth proportional to 102,429.60, 153,644.40 and 97,360.80 is: 146,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,429.60 : 153,644.40 = 97,360.80 : x
  2. Step 2: Convert to fraction form
    102,429.60/153,644.40 = 97,360.80/x
  3. Step 3: Cross multiply
    102,429.60x = 153,644.40 × 97,360.80
  4. Step 4: Simplify right side
    102,429.60x = 14,958,941,699.52
  5. Step 5: Solve for x
    x = 14,958,941,699.52/102,429.60
  6. Step 6: Final answer
    x = 146,041.20

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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.