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Finding the Fourth Proportional to 103,447, 142,756.86 and 56,343

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Solution

The fourth proportional to 103,447, 142,756.86 and 56,343 is: 77,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,447 : 142,756.86 = 56,343 : x
  2. Step 2: Convert to fraction form
    103,447/142,756.86 = 56,343/x
  3. Step 3: Cross multiply
    103,447x = 142,756.86 × 56,343
  4. Step 4: Simplify right side
    103,447x = 8,043,349,762.98
  5. Step 5: Solve for x
    x = 8,043,349,762.98/103,447
  6. Step 6: Final answer
    x = 77,753.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.