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Finding the Fourth Proportional to 219,543.68, 302,970.16 and 118,941.68

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Solution

The fourth proportional to 219,543.68, 302,970.16 and 118,941.68 is: 164,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,543.68 : 302,970.16 = 118,941.68 : x
  2. Step 2: Convert to fraction form
    219,543.68/302,970.16 = 118,941.68/x
  3. Step 3: Cross multiply
    219,543.68x = 302,970.16 × 118,941.68
  4. Step 4: Simplify right side
    219,543.68x = 36,035,779,820.27
  5. Step 5: Solve for x
    x = 36,035,779,820.27/219,543.68
  6. Step 6: Final answer
    x = 164,139.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.