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Finding the Fourth Proportional to 153,594.64, 230,374.68 and 42,795.28

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Solution

The fourth proportional to 153,594.64, 230,374.68 and 42,795.28 is: 64,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,594.64 : 230,374.68 = 42,795.28 : x
  2. Step 2: Convert to fraction form
    153,594.64/230,374.68 = 42,795.28/x
  3. Step 3: Cross multiply
    153,594.64x = 230,374.68 × 42,795.28
  4. Step 4: Simplify right side
    153,594.64x = 9,858,948,935.51
  5. Step 5: Solve for x
    x = 9,858,948,935.51/153,594.64
  6. Step 6: Final answer
    x = 64,188.11

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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.