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Finding the Fourth Proportional to 114,333.19, 157,779.80 and 64,032.19

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Solution

The fourth proportional to 114,333.19, 157,779.80 and 64,032.19 is: 88,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,333.19 : 157,779.80 = 64,032.19 : x
  2. Step 2: Convert to fraction form
    114,333.19/157,779.80 = 64,032.19/x
  3. Step 3: Cross multiply
    114,333.19x = 157,779.80 × 64,032.19
  4. Step 4: Simplify right side
    114,333.19x = 10,102,985,657.27
  5. Step 5: Solve for x
    x = 10,102,985,657.27/114,333.19
  6. Step 6: Final answer
    x = 88,364.42

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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.