Finding the Fourth Proportional to 180,455,710.97, 249,022,437.84 and 102,137,582.96
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Solution
The fourth proportional to 180,455,710.97, 249,022,437.84 and 102,137,582.96 is: 140,946,217.59
Step by Step Solution
- Step 1: Write the proportion equation
180,455,710.97 : 249,022,437.84 = 102,137,582.96 : x - Step 2: Convert to fraction form
180,455,710.97/249,022,437.84 = 102,137,582.96/x - Step 3: Cross multiply
180,455,710.97x = 249,022,437.84 × 102,137,582.96 - Step 4: Simplify right side
180,455,710.97x = 25,434,549,903,784,440 - Step 5: Solve for x
x = 25,434,549,903,784,440/180,455,710.97 - Step 6: Final answer
x = 140,946,217.59
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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.