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Finding the Fourth Proportional to 255,032.16, 351,938.16 and 147,587.28

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Solution

The fourth proportional to 255,032.16, 351,938.16 and 147,587.28 is: 203,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,032.16 : 351,938.16 = 147,587.28 : x
  2. Step 2: Convert to fraction form
    255,032.16/351,938.16 = 147,587.28/x
  3. Step 3: Cross multiply
    255,032.16x = 351,938.16 × 147,587.28
  4. Step 4: Simplify right side
    255,032.16x = 51,941,595,762.60
  5. Step 5: Solve for x
    x = 51,941,595,762.60/255,032.16
  6. Step 6: Final answer
    x = 203,666.85

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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.