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Finding the Fourth Proportional to 114,152.24, 157,519.35 and 77,283.45

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Solution

The fourth proportional to 114,152.24, 157,519.35 and 77,283.45 is: 106,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,152.24 : 157,519.35 = 77,283.45 : x
  2. Step 2: Convert to fraction form
    114,152.24/157,519.35 = 77,283.45/x
  3. Step 3: Cross multiply
    114,152.24x = 157,519.35 × 77,283.45
  4. Step 4: Simplify right side
    114,152.24x = 12,173,638,809.76
  5. Step 5: Solve for x
    x = 12,173,638,809.76/114,152.24
  6. Step 6: Final answer
    x = 106,643.89

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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.