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Finding the Fourth Proportional to 213,880.38, 295,124.01 and 118,386.86

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Solution

The fourth proportional to 213,880.38, 295,124.01 and 118,386.86 is: 163,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,880.38 : 295,124.01 = 118,386.86 : x
  2. Step 2: Convert to fraction form
    213,880.38/295,124.01 = 118,386.86/x
  3. Step 3: Cross multiply
    213,880.38x = 295,124.01 × 118,386.86
  4. Step 4: Simplify right side
    213,880.38x = 34,938,803,378.89
  5. Step 5: Solve for x
    x = 34,938,803,378.89/213,880.38
  6. Step 6: Final answer
    x = 163,356.75

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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.