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Finding the Fourth Proportional to 242,347.48, 334,390.65 and 146,798.66

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Solution

The fourth proportional to 242,347.48, 334,390.65 and 146,798.66 is: 202,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,347.48 : 334,390.65 = 146,798.66 : x
  2. Step 2: Convert to fraction form
    242,347.48/334,390.65 = 146,798.66/x
  3. Step 3: Cross multiply
    242,347.48x = 334,390.65 × 146,798.66
  4. Step 4: Simplify right side
    242,347.48x = 49,088,099,336.53
  5. Step 5: Solve for x
    x = 49,088,099,336.53/242,347.48
  6. Step 6: Final answer
    x = 202,552.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.