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Finding the Fourth Proportional to 145,815.60, 218,809.80 and 96,038.40

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Solution

The fourth proportional to 145,815.60, 218,809.80 and 96,038.40 is: 144,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,815.60 : 218,809.80 = 96,038.40 : x
  2. Step 2: Convert to fraction form
    145,815.60/218,809.80 = 96,038.40/x
  3. Step 3: Cross multiply
    145,815.60x = 218,809.80 × 96,038.40
  4. Step 4: Simplify right side
    145,815.60x = 21,014,143,096.32
  5. Step 5: Solve for x
    x = 21,014,143,096.32/145,815.60
  6. Step 6: Final answer
    x = 144,114.51

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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.