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Finding the Fourth Proportional to 243,007.60, 364,948.80 and 176,522.80

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Solution

The fourth proportional to 243,007.60, 364,948.80 and 176,522.80 is: 265,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,007.60 : 364,948.80 = 176,522.80 : x
  2. Step 2: Convert to fraction form
    243,007.60/364,948.80 = 176,522.80/x
  3. Step 3: Cross multiply
    243,007.60x = 364,948.80 × 176,522.80
  4. Step 4: Simplify right side
    243,007.60x = 64,421,784,032.64
  5. Step 5: Solve for x
    x = 64,421,784,032.64/243,007.60
  6. Step 6: Final answer
    x = 265,101.93

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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.