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Finding the Fourth Proportional to 242,412.84, 334,539.59 and 134,976.06

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Solution

The fourth proportional to 242,412.84, 334,539.59 and 134,976.06 is: 186,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,412.84 : 334,539.59 = 134,976.06 : x
  2. Step 2: Convert to fraction form
    242,412.84/334,539.59 = 134,976.06/x
  3. Step 3: Cross multiply
    242,412.84x = 334,539.59 × 134,976.06
  4. Step 4: Simplify right side
    242,412.84x = 45,154,835,097.34
  5. Step 5: Solve for x
    x = 45,154,835,097.34/242,412.84
  6. Step 6: Final answer
    x = 186,272.46

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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.