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Finding the Fourth Proportional to 114,123.93, 157,477.14 and 63,129.84

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Solution

The fourth proportional to 114,123.93, 157,477.14 and 63,129.84 is: 87,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,123.93 : 157,477.14 = 63,129.84 : x
  2. Step 2: Convert to fraction form
    114,123.93/157,477.14 = 63,129.84/x
  3. Step 3: Cross multiply
    114,123.93x = 157,477.14 × 63,129.84
  4. Step 4: Simplify right side
    114,123.93x = 9,941,506,651.86
  5. Step 5: Solve for x
    x = 9,941,506,651.86/114,123.93
  6. Step 6: Final answer
    x = 87,111.50

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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.