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Finding the Fourth Proportional to 176,784, 243,488.64 and 152,911.68

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Solution

The fourth proportional to 176,784, 243,488.64 and 152,911.68 is: 210,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,784 : 243,488.64 = 152,911.68 : x
  2. Step 2: Convert to fraction form
    176,784/243,488.64 = 152,911.68/x
  3. Step 3: Cross multiply
    176,784x = 243,488.64 × 152,911.68
  4. Step 4: Simplify right side
    176,784x = 37,232,257,003.32
  5. Step 5: Solve for x
    x = 37,232,257,003.32/176,784
  6. Step 6: Final answer
    x = 210,608.75

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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.