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Finding the Fourth Proportional to 294,705.84, 442,070.10 and 95,029.50

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Solution

The fourth proportional to 294,705.84, 442,070.10 and 95,029.50 is: 142,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,705.84 : 442,070.10 = 95,029.50 : x
  2. Step 2: Convert to fraction form
    294,705.84/442,070.10 = 95,029.50/x
  3. Step 3: Cross multiply
    294,705.84x = 442,070.10 × 95,029.50
  4. Step 4: Simplify right side
    294,705.84x = 42,009,700,567.95
  5. Step 5: Solve for x
    x = 42,009,700,567.95/294,705.84
  6. Step 6: Final answer
    x = 142,547.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.