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Finding the Fourth Proportional to 153,678, 230,607.72 and 64,925.76

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Solution

The fourth proportional to 153,678, 230,607.72 and 64,925.76 is: 97,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,678 : 230,607.72 = 64,925.76 : x
  2. Step 2: Convert to fraction form
    153,678/230,607.72 = 64,925.76/x
  3. Step 3: Cross multiply
    153,678x = 230,607.72 × 64,925.76
  4. Step 4: Simplify right side
    153,678x = 14,972,381,482.87
  5. Step 5: Solve for x
    x = 14,972,381,482.87/153,678
  6. Step 6: Final answer
    x = 97,426.97

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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.