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Finding the Fourth Proportional to 114,368.16, 157,823.50 and 63,383.08

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Solution

The fourth proportional to 114,368.16, 157,823.50 and 63,383.08 is: 87,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,368.16 : 157,823.50 = 63,383.08 : x
  2. Step 2: Convert to fraction form
    114,368.16/157,823.50 = 63,383.08/x
  3. Step 3: Cross multiply
    114,368.16x = 157,823.50 × 63,383.08
  4. Step 4: Simplify right side
    114,368.16x = 10,003,339,526.38
  5. Step 5: Solve for x
    x = 10,003,339,526.38/114,368.16
  6. Step 6: Final answer
    x = 87,466.12

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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.