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Finding the Fourth Proportional to 152,681.96, 229,038.64 and 52,842

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Solution

The fourth proportional to 152,681.96, 229,038.64 and 52,842 is: 79,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,681.96 : 229,038.64 = 52,842 : x
  2. Step 2: Convert to fraction form
    152,681.96/229,038.64 = 52,842/x
  3. Step 3: Cross multiply
    152,681.96x = 229,038.64 × 52,842
  4. Step 4: Simplify right side
    152,681.96x = 12,102,859,814.88
  5. Step 5: Solve for x
    x = 12,102,859,814.88/152,681.96
  6. Step 6: Final answer
    x = 79,268.43

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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.