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Finding the Fourth Proportional to 153,101.32, 229,656.30 and 42,293.32

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Solution

The fourth proportional to 153,101.32, 229,656.30 and 42,293.32 is: 63,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,101.32 : 229,656.30 = 42,293.32 : x
  2. Step 2: Convert to fraction form
    153,101.32/229,656.30 = 42,293.32/x
  3. Step 3: Cross multiply
    153,101.32x = 229,656.30 × 42,293.32
  4. Step 4: Simplify right side
    153,101.32x = 9,712,927,385.92
  5. Step 5: Solve for x
    x = 9,712,927,385.92/153,101.32
  6. Step 6: Final answer
    x = 63,441.17

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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.