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Finding the Fourth Proportional to 152,784, 229,268.16 and 65,232

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Solution

The fourth proportional to 152,784, 229,268.16 and 65,232 is: 97,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,784 : 229,268.16 = 65,232 : x
  2. Step 2: Convert to fraction form
    152,784/229,268.16 = 65,232/x
  3. Step 3: Cross multiply
    152,784x = 229,268.16 × 65,232
  4. Step 4: Simplify right side
    152,784x = 14,955,620,613.12
  5. Step 5: Solve for x
    x = 14,955,620,613.12/152,784
  6. Step 6: Final answer
    x = 97,887.35

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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.