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Finding the Fourth Proportional to 103,842.58, 143,302.76 and 56,095.93

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Solution

The fourth proportional to 103,842.58, 143,302.76 and 56,095.93 is: 77,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842.58 : 143,302.76 = 56,095.93 : x
  2. Step 2: Convert to fraction form
    103,842.58/143,302.76 = 56,095.93/x
  3. Step 3: Cross multiply
    103,842.58x = 143,302.76 × 56,095.93
  4. Step 4: Simplify right side
    103,842.58x = 8,038,701,593.77
  5. Step 5: Solve for x
    x = 8,038,701,593.77/103,842.58
  6. Step 6: Final answer
    x = 77,412.38

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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.