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Finding the Fourth Proportional to 213,507.51, 294,646.32 and 118,020.35

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Solution

The fourth proportional to 213,507.51, 294,646.32 and 118,020.35 is: 162,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,507.51 : 294,646.32 = 118,020.35 : x
  2. Step 2: Convert to fraction form
    213,507.51/294,646.32 = 118,020.35/x
  3. Step 3: Cross multiply
    213,507.51x = 294,646.32 × 118,020.35
  4. Step 4: Simplify right side
    213,507.51x = 34,774,260,339.38
  5. Step 5: Solve for x
    x = 34,774,260,339.38/213,507.51
  6. Step 6: Final answer
    x = 162,871.37

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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.