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Finding the Fourth Proportional to 219,348.94, 302,701.64 and 118,746.94

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Solution

The fourth proportional to 219,348.94, 302,701.64 and 118,746.94 is: 163,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348.94 : 302,701.64 = 118,746.94 : x
  2. Step 2: Convert to fraction form
    219,348.94/302,701.64 = 118,746.94/x
  3. Step 3: Cross multiply
    219,348.94x = 302,701.64 × 118,746.94
  4. Step 4: Simplify right side
    219,348.94x = 35,944,893,482.98
  5. Step 5: Solve for x
    x = 35,944,893,482.98/219,348.94
  6. Step 6: Final answer
    x = 163,870.83

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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.